Setup

EFA_correlation CFA_coding CFA_estimator
cor continuous ML

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Data preparation

## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion
## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion
## Warning in ifelse(as.numeric(as.character(structure(c(48L, 47L, 50L, 43L, :
## NAs introduced by coercion
## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion
## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion
## Warning in ifelse(as.numeric(as.character(structure(c(44L, 48L, 49L, 45L, :
## NAs introduced by coercion
## Warning in Ops.factor(d_clean_4[, i], 4): '-' not meaningful for factors

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Data examination

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Study 1 (2015-12-15, 2 conditions, between-subjects)

Demographics

## Warning in mutate_impl(.data, dots): NAs introduced by coercion
Study 1: Exclusion
did_not_finish failed_catch_trial did_not_provide_yob too_young TOTAL_excluded TOTAL_participated OVERALL_TOTAL
14 19 15 0 48 405 453
Study 1: Sample size
condition n
beetle 200
robot 205
all 405
Study 1: Study duration (minutes)
condition min_duration max_duration median_duration mean_duration sd_duration
beetle 0.77 119.12 2.77 3.92 8.50
robot 0.83 15.77 2.58 3.24 2.11
all 0.77 119.12 2.67 3.58 6.16
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")
## Warning: joining character vector and factor, coercing into character
## vector
Study 1: Participant age (years; approximate)
condition min_age max_age median_age mean_age sd_age
beetle 19 70 31 34.24 10.64
robot 20 75 32 35.11 11.20
all 19 75 32 34.68 10.92
Study 1: Participant gender
condition m f other
beetle 119 81 0
robot 121 82 2
all 240 163 2
Study 1: Participant race/ethnicity
condition asian_east asian_other asian_south black hispanic middle_eastern multiracial native_american other_prefno pac_islander white
beetle 20 0 6 8 9 1 11 1 1 1 142
robot 16 2 2 15 9 1 9 1 1 1 148
all 36 2 8 23 18 2 20 2 2 2 290
Study 1: Participant religion
condition buddhism christianity hinduism islam judaism multireligious none other other_prefno
beetle 3 81 2 2 4 0 101 3 4
robot 2 87 0 0 5 3 100 3 5
all 5 168 2 2 9 3 201 6 9

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Exploratory factor analysis

EFA: BEETLE condition

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d1_beetle, nfactors = nfactors_d1_beetle, rotate = "none", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                 MR1   MR2   h2   u2 com
## happy          0.80  0.07 0.65 0.35 1.0
## depressed      0.83 -0.21 0.73 0.27 1.1
## fear           0.56  0.43 0.50 0.50 1.9
## angry          0.72  0.11 0.53 0.47 1.0
## calm           0.68  0.34 0.58 0.42 1.5
## sounds         0.27  0.48 0.30 0.70 1.6
## seeing         0.22  0.60 0.41 0.59 1.3
## temperature    0.28  0.60 0.44 0.56 1.4
## odors          0.31  0.51 0.35 0.65 1.6
## depth          0.41  0.39 0.32 0.68 2.0
## computations   0.59 -0.30 0.43 0.57 1.5
## thoughts       0.76  0.12 0.60 0.40 1.1
## reasoning      0.80 -0.02 0.64 0.36 1.0
## remembering    0.56  0.34 0.43 0.57 1.7
## beliefs        0.75 -0.37 0.69 0.31 1.5
## hungry         0.23  0.67 0.51 0.49 1.2
## tired          0.53  0.50 0.53 0.47 2.0
## pain           0.40  0.63 0.56 0.44 1.7
## nauseated      0.74  0.19 0.59 0.41 1.1
## safe           0.59  0.35 0.46 0.54 1.6
## love           0.83 -0.17 0.72 0.28 1.1
## recognizing    0.69  0.11 0.49 0.51 1.0
## communicating  0.51  0.28 0.33 0.67 1.6
## guilt          0.79 -0.35 0.74 0.26 1.4
## disrespected   0.79 -0.30 0.71 0.29 1.3
## free_will      0.57  0.30 0.42 0.58 1.5
## choices        0.55  0.45 0.51 0.49 1.9
## self_restraint 0.75 -0.03 0.56 0.44 1.0
## intentions     0.59  0.38 0.49 0.51 1.7
## goal           0.52  0.38 0.41 0.59 1.8
## conscious      0.63  0.30 0.49 0.51 1.4
## self_aware     0.68  0.18 0.49 0.51 1.1
## desires        0.63  0.28 0.48 0.52 1.4
## embarrassed    0.76 -0.45 0.78 0.22 1.6
## emo_recog      0.80 -0.32 0.74 0.26 1.3
## joy            0.83  0.01 0.69 0.31 1.0
## morality       0.73 -0.26 0.60 0.40 1.2
## personality    0.79 -0.09 0.63 0.37 1.0
## pleasure       0.67  0.38 0.60 0.40 1.6
## pride          0.84 -0.31 0.81 0.19 1.3
## 
##                         MR1  MR2
## SS loadings           16.88 5.08
## Proportion Var         0.42 0.13
## Cumulative Var         0.42 0.55
## Proportion Explained   0.77 0.23
## Cumulative Proportion  0.77 1.00
## 
## Mean item complexity =  1.4
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  33.83 with Chi Square of  6252.29
## The degrees of freedom for the model are 701  and the objective function was  6.46 
## 
## The root mean square of the residuals (RMSR) is  0.04 
## The df corrected root mean square of the residuals is  0.04 
## 
## The harmonic number of observations is  200 with the empirical chi square  565.19  with prob <  1 
## The total number of observations was  200  with MLE Chi Square =  1185.72  with prob <  1.7e-27 
## 
## Tucker Lewis Index of factoring reliability =  0.901
## RMSEA index =  0.065  and the 90 % confidence intervals are  0.053 NA
## BIC =  -2528.4
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.99 0.96
## Multiple R square of scores with factors       0.98 0.92
## Minimum correlation of possible factor scores  0.96 0.84

Step 3: Run EFA with oblimin rotation

## Loading required namespace: GPArotation
## Factor Analysis using method =  minres
## Call: fa(r = d1_beetle, nfactors = nfactors_d1_beetle, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.60  0.35 0.65 0.35 1.6
## depressed       0.82  0.08 0.73 0.27 1.0
## fear            0.15  0.64 0.50 0.50 1.1
## angry           0.50  0.36 0.53 0.47 1.8
## calm            0.30  0.59 0.58 0.42 1.5
## sounds         -0.13  0.59 0.30 0.70 1.1
## seeing         -0.26  0.70 0.41 0.59 1.3
## temperature    -0.21  0.72 0.44 0.56 1.2
## odors          -0.12  0.63 0.35 0.65 1.1
## depth           0.05  0.54 0.32 0.68 1.0
## computations    0.69 -0.11 0.43 0.57 1.0
## thoughts        0.53  0.39 0.60 0.40 1.8
## reasoning       0.67  0.25 0.64 0.36 1.3
## remembering     0.20  0.55 0.43 0.57 1.3
## beliefs         0.87 -0.12 0.69 0.31 1.0
## hungry         -0.30  0.78 0.51 0.49 1.3
## tired           0.07  0.70 0.53 0.47 1.0
## pain           -0.13  0.79 0.56 0.44 1.1
## nauseated       0.46  0.45 0.59 0.41 2.0
## safe            0.22  0.56 0.46 0.54 1.3
## love            0.80  0.11 0.72 0.28 1.0
## recognizing     0.48  0.35 0.49 0.51 1.8
## communicating   0.21  0.46 0.33 0.67 1.4
## guilt           0.89 -0.09 0.74 0.26 1.0
## disrespected    0.86 -0.04 0.71 0.29 1.0
## free_will       0.24  0.51 0.42 0.58 1.4
## choices         0.12  0.66 0.51 0.49 1.1
## self_restraint  0.63  0.23 0.56 0.44 1.3
## intentions      0.20  0.59 0.49 0.51 1.2
## goal            0.14  0.57 0.41 0.59 1.1
## conscious       0.29  0.53 0.49 0.51 1.5
## self_aware      0.42  0.42 0.49 0.51 2.0
## desires         0.31  0.51 0.48 0.52 1.7
## embarrassed     0.94 -0.20 0.78 0.22 1.1
## emo_recog       0.88 -0.05 0.74 0.26 1.0
## joy             0.67  0.30 0.69 0.31 1.4
## morality        0.78 -0.01 0.60 0.40 1.0
## personality     0.71  0.18 0.63 0.37 1.1
## pleasure        0.27  0.63 0.60 0.40 1.4
## pride           0.91 -0.03 0.81 0.19 1.0
## 
##                         MR1  MR2
## SS loadings           12.23 9.73
## Proportion Var         0.31 0.24
## Cumulative Var         0.31 0.55
## Proportion Explained   0.56 0.44
## Cumulative Proportion  0.56 1.00
## 
##  With factor correlations of 
##     MR1 MR2
## MR1 1.0 0.4
## MR2 0.4 1.0
## 
## Mean item complexity =  1.3
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  33.83 with Chi Square of  6252.29
## The degrees of freedom for the model are 701  and the objective function was  6.46 
## 
## The root mean square of the residuals (RMSR) is  0.04 
## The df corrected root mean square of the residuals is  0.04 
## 
## The harmonic number of observations is  200 with the empirical chi square  565.19  with prob <  1 
## The total number of observations was  200  with MLE Chi Square =  1185.72  with prob <  1.7e-27 
## 
## Tucker Lewis Index of factoring reliability =  0.901
## RMSEA index =  0.065  and the 90 % confidence intervals are  0.053 NA
## BIC =  -2528.4
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.99 0.97
## Multiple R square of scores with factors       0.97 0.95
## Minimum correlation of possible factor scores  0.95 0.89

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Factor 1
Study 1, BEETLE condition: Rotated Factor 1
F1
embarrassed 0.9440523
pride 0.9081533
guilt 0.8906603
emo_recog 0.8782222
beliefs 0.8736313
disrespected 0.8566385
depressed 0.8240501
love 0.7994946
morality 0.7811438
personality 0.7089780
computations 0.6939023
joy 0.6695277
reasoning 0.6652942
self_restraint 0.6305370
happy 0.6034206
thoughts 0.5276238
angry 0.5021990
recognizing 0.4820272
nauseated 0.4634142
self_aware 0.4178148
desires 0.3107010
calm 0.3036958
conscious 0.2902389
pleasure 0.2676393
free_will 0.2449147
safe 0.2222686
communicating 0.2085438
remembering 0.2045590
intentions 0.2038521
fear 0.1453854
goal 0.1418002
choices 0.1187407
tired 0.0685213
depth 0.0458845
odors -0.1191542
sounds -0.1290391
pain -0.1312234
temperature -0.2136876
seeing -0.2571438
hungry -0.3005762
Factor 2
Study 1, BEETLE condition: Rotated Factor 2
F2
pain 0.7926481
hungry 0.7752471
temperature 0.7170307
tired 0.6977625
seeing 0.6959057
choices 0.6580347
fear 0.6351036
pleasure 0.6283244
odors 0.6270289
intentions 0.5942473
calm 0.5879397
sounds 0.5857267
goal 0.5745682
safe 0.5627134
remembering 0.5500451
depth 0.5422707
conscious 0.5307070
free_will 0.5100530
desires 0.5099156
communicating 0.4623823
nauseated 0.4546992
self_aware 0.4206549
thoughts 0.3919741
angry 0.3616163
recognizing 0.3510067
happy 0.3465516
joy 0.2979975
reasoning 0.2510172
self_restraint 0.2287306
personality 0.1776459
love 0.1145687
depressed 0.0758815
morality -0.0097803
pride -0.0281165
disrespected -0.0391258
emo_recog -0.0511680
guilt -0.0851762
computations -0.1070958
beliefs -0.1245751
embarrassed -0.2021787
Factor 3 (not applicable)

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EFA: ROBOT condition

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d1_robot, nfactors = nfactors_d1_robot, rotate = "none", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.88 -0.03 0.78 0.22 1.0
## depressed       0.86 -0.12 0.76 0.24 1.0
## fear            0.91 -0.03 0.84 0.16 1.0
## angry           0.88 -0.02 0.77 0.23 1.0
## calm            0.64  0.12 0.42 0.58 1.1
## sounds          0.00  0.63 0.39 0.61 1.0
## seeing          0.14  0.71 0.53 0.47 1.1
## temperature     0.07  0.69 0.48 0.52 1.0
## odors           0.13  0.52 0.29 0.71 1.1
## depth           0.18  0.62 0.42 0.58 1.2
## computations   -0.09  0.56 0.33 0.67 1.0
## thoughts        0.63  0.25 0.46 0.54 1.3
## reasoning       0.35  0.60 0.48 0.52 1.6
## remembering     0.12  0.69 0.49 0.51 1.1
## beliefs         0.73  0.12 0.54 0.46 1.1
## hungry          0.70  0.01 0.49 0.51 1.0
## tired           0.78  0.08 0.62 0.38 1.0
## pain            0.81  0.00 0.65 0.35 1.0
## nauseated       0.83 -0.14 0.71 0.29 1.1
## safe            0.75  0.07 0.57 0.43 1.0
## love            0.93 -0.06 0.88 0.12 1.0
## recognizing     0.13  0.77 0.62 0.38 1.1
## communicating   0.19  0.65 0.45 0.55 1.2
## guilt           0.80 -0.05 0.65 0.35 1.0
## disrespected    0.78 -0.05 0.61 0.39 1.0
## free_will       0.77  0.08 0.60 0.40 1.0
## choices         0.22  0.63 0.44 0.56 1.2
## self_restraint  0.47  0.34 0.34 0.66 1.8
## intentions      0.53  0.27 0.35 0.65 1.5
## goal            0.16  0.62 0.41 0.59 1.1
## conscious       0.68  0.08 0.47 0.53 1.0
## self_aware      0.64  0.22 0.46 0.54 1.2
## desires         0.77  0.07 0.59 0.41 1.0
## embarrassed     0.94 -0.11 0.90 0.10 1.0
## emo_recog       0.60  0.36 0.49 0.51 1.6
## joy             0.87 -0.03 0.75 0.25 1.0
## morality        0.53  0.36 0.41 0.59 1.8
## personality     0.62  0.38 0.52 0.48 1.7
## pleasure        0.93 -0.06 0.88 0.12 1.0
## pride           0.89 -0.04 0.79 0.21 1.0
## 
##                         MR1  MR2
## SS loadings           16.82 5.81
## Proportion Var         0.42 0.15
## Cumulative Var         0.42 0.57
## Proportion Explained   0.74 0.26
## Cumulative Proportion  0.74 1.00
## 
## Mean item complexity =  1.1
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  39 with Chi Square of  7403.31
## The degrees of freedom for the model are 701  and the objective function was  8.85 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  205 with the empirical chi square  717.63  with prob <  0.32 
## The total number of observations was  205  with MLE Chi Square =  1667.76  with prob <  1.6e-80 
## 
## Tucker Lewis Index of factoring reliability =  0.836
## RMSEA index =  0.088  and the 90 % confidence intervals are  0.077 NA
## BIC =  -2063.67
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             1.00 0.97
## Multiple R square of scores with factors       0.99 0.93
## Minimum correlation of possible factor scores  0.98 0.87

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d1_robot, nfactors = nfactors_d1_robot, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.89 -0.02 0.78 0.22 1.0
## depressed       0.89 -0.11 0.76 0.24 1.0
## fear            0.92 -0.02 0.84 0.16 1.0
## angry           0.88 -0.01 0.77 0.23 1.0
## calm            0.61  0.13 0.42 0.58 1.1
## sounds         -0.15  0.64 0.39 0.61 1.1
## seeing         -0.02  0.73 0.53 0.47 1.0
## temperature    -0.09  0.71 0.48 0.52 1.0
## odors           0.01  0.54 0.29 0.71 1.0
## depth           0.04  0.64 0.42 0.58 1.0
## computations   -0.22  0.58 0.33 0.67 1.3
## thoughts        0.57  0.26 0.46 0.54 1.4
## reasoning       0.21  0.62 0.48 0.52 1.2
## remembering    -0.04  0.70 0.49 0.51 1.0
## beliefs         0.70  0.13 0.54 0.46 1.1
## hungry          0.70  0.02 0.49 0.51 1.0
## tired           0.76  0.09 0.62 0.38 1.0
## pain            0.81  0.01 0.65 0.35 1.0
## nauseated       0.86 -0.13 0.71 0.29 1.0
## safe            0.74  0.08 0.57 0.43 1.0
## love            0.95 -0.06 0.88 0.12 1.0
## recognizing    -0.04  0.79 0.62 0.38 1.0
## communicating   0.04  0.66 0.45 0.55 1.0
## guilt           0.81 -0.04 0.65 0.35 1.0
## disrespected    0.79 -0.04 0.61 0.39 1.0
## free_will       0.75  0.09 0.60 0.40 1.0
## choices         0.07  0.64 0.44 0.56 1.0
## self_restraint  0.39  0.36 0.34 0.66 2.0
## intentions      0.46  0.28 0.35 0.65 1.7
## goal            0.01  0.64 0.41 0.59 1.0
## conscious       0.66  0.09 0.47 0.53 1.0
## self_aware      0.59  0.23 0.46 0.54 1.3
## desires         0.75  0.08 0.59 0.41 1.0
## embarrassed     0.96 -0.10 0.90 0.10 1.0
## emo_recog       0.52  0.37 0.49 0.51 1.8
## joy             0.87 -0.02 0.75 0.25 1.0
## morality        0.44  0.37 0.41 0.59 1.9
## personality     0.53  0.39 0.52 0.48 1.8
## pleasure        0.95 -0.06 0.88 0.12 1.0
## pride           0.90 -0.03 0.79 0.21 1.0
## 
##                         MR1  MR2
## SS loadings           16.30 6.33
## Proportion Var         0.41 0.16
## Cumulative Var         0.41 0.57
## Proportion Explained   0.72 0.28
## Cumulative Proportion  0.72 1.00
## 
##  With factor correlations of 
##      MR1  MR2
## MR1 1.00 0.21
## MR2 0.21 1.00
## 
## Mean item complexity =  1.2
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  39 with Chi Square of  7403.31
## The degrees of freedom for the model are 701  and the objective function was  8.85 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  205 with the empirical chi square  717.63  with prob <  0.32 
## The total number of observations was  205  with MLE Chi Square =  1667.76  with prob <  1.6e-80 
## 
## Tucker Lewis Index of factoring reliability =  0.836
## RMSEA index =  0.088  and the 90 % confidence intervals are  0.077 NA
## BIC =  -2063.67
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             1.00 0.97
## Multiple R square of scores with factors       0.99 0.94
## Minimum correlation of possible factor scores  0.98 0.87

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Factor 1
Study 1, ROBOT condition: Rotated Factor 1
F1
embarrassed 0.9641037
pleasure 0.9472343
love 0.9468109
fear 0.9186321
pride 0.8961650
happy 0.8884707
depressed 0.8861983
angry 0.8801143
joy 0.8722513
nauseated 0.8587571
guilt 0.8137563
pain 0.8070472
disrespected 0.7866940
tired 0.7636259
free_will 0.7528521
desires 0.7489788
safe 0.7358679
hungry 0.6985322
beliefs 0.6973072
conscious 0.6566758
calm 0.6100252
self_aware 0.5905387
thoughts 0.5728410
personality 0.5299597
emo_recog 0.5173974
intentions 0.4623337
morality 0.4430973
self_restraint 0.3930128
reasoning 0.2074653
choices 0.0715817
depth 0.0418538
communicating 0.0404534
goal 0.0129035
odors 0.0087600
seeing -0.0222526
remembering -0.0392736
recognizing -0.0431046
temperature -0.0895492
sounds -0.1470091
computations -0.2151674
Factor 2
Study 1, ROBOT condition: Rotated Factor 2
F2
recognizing 0.7937630
seeing 0.7316885
temperature 0.7069351
remembering 0.7047323
communicating 0.6634524
choices 0.6449227
sounds 0.6426030
goal 0.6389682
depth 0.6377965
reasoning 0.6208181
computations 0.5765235
odors 0.5351102
personality 0.3922183
morality 0.3720688
emo_recog 0.3695686
self_restraint 0.3567544
intentions 0.2826026
thoughts 0.2590255
self_aware 0.2300412
beliefs 0.1344118
calm 0.1272897
conscious 0.0910407
tired 0.0874804
free_will 0.0860418
safe 0.0814668
desires 0.0813625
hungry 0.0159091
pain 0.0088341
angry -0.0103937
joy -0.0181458
fear -0.0223205
happy -0.0223783
pride -0.0321841
guilt -0.0404905
disrespected -0.0406588
pleasure -0.0575347
love -0.0579180
embarrassed -0.1023760
depressed -0.1136898
nauseated -0.1340358
Factor 3 (not applicable)

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EFA: ALL conditions

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d1_all, nfactors = nfactors_d1_all, rotate = "none", fm = "minres", 
##     cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.85  0.11 -0.09 0.74 0.26 1.1
## depressed       0.79  0.28 -0.24 0.75 0.25 1.4
## fear            0.81 -0.32  0.09 0.76 0.24 1.3
## angry           0.82  0.03 -0.06 0.67 0.33 1.0
## calm            0.78 -0.07  0.10 0.62 0.38 1.0
## sounds          0.11  0.20  0.57 0.38 0.62 1.3
## seeing          0.32 -0.01  0.64 0.51 0.49 1.5
## temperature     0.22  0.11  0.65 0.48 0.52 1.3
## odors           0.40 -0.11  0.47 0.39 0.61 2.1
## depth           0.24  0.27  0.52 0.40 0.60 2.0
## computations   -0.37  0.78  0.17 0.78 0.22 1.5
## thoughts        0.77  0.13  0.06 0.61 0.39 1.1
## reasoning       0.34  0.59  0.29 0.55 0.45 2.1
## remembering     0.07  0.55  0.54 0.59 0.41 2.0
## beliefs         0.58  0.47 -0.19 0.60 0.40 2.2
## hungry          0.69 -0.62  0.09 0.87 0.13 2.0
## tired           0.79 -0.34  0.14 0.76 0.24 1.4
## pain            0.76 -0.52  0.13 0.87 0.13 1.8
## nauseated       0.82 -0.05 -0.01 0.68 0.32 1.0
## safe            0.78 -0.15  0.09 0.63 0.37 1.1
## love            0.80  0.31 -0.22 0.79 0.21 1.5
## recognizing     0.08  0.68  0.45 0.67 0.33 1.8
## communicating   0.21  0.42  0.49 0.46 0.54 2.3
## guilt           0.71  0.35 -0.28 0.70 0.30 1.8
## disrespected    0.70  0.36 -0.25 0.68 0.32 1.8
## free_will       0.77 -0.17  0.05 0.63 0.37 1.1
## choices         0.39  0.22  0.50 0.46 0.54 2.3
## self_restraint  0.58  0.33  0.09 0.45 0.55 1.7
## intentions      0.67  0.00  0.19 0.48 0.52 1.2
## goal            0.27  0.32  0.50 0.42 0.58 2.3
## conscious       0.78 -0.16  0.08 0.64 0.36 1.1
## self_aware      0.73  0.07  0.08 0.55 0.45 1.0
## desires         0.80 -0.13  0.06 0.66 0.34 1.1
## embarrassed     0.69  0.42 -0.34 0.76 0.24 2.2
## emo_recog       0.54  0.54 -0.03 0.58 0.42 2.0
## joy             0.85  0.17 -0.11 0.76 0.24 1.1
## morality        0.40  0.55  0.02 0.47 0.53 1.8
## personality     0.64  0.41  0.04 0.58 0.42 1.7
## pleasure        0.85 -0.14  0.06 0.74 0.26 1.1
## pride           0.76  0.39 -0.26 0.80 0.20 1.8
## 
##                         MR1  MR2  MR3
## SS loadings           16.20 5.08 3.63
## Proportion Var         0.40 0.13 0.09
## Cumulative Var         0.40 0.53 0.62
## Proportion Explained   0.65 0.20 0.15
## Cumulative Proportion  0.65 0.85 1.00
## 
## Mean item complexity =  1.6
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  36.39 with Chi Square of  14185
## The degrees of freedom for the model are 663  and the objective function was  3.81 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  405 with the empirical chi square  500.89  with prob <  1 
## The total number of observations was  405  with MLE Chi Square =  1475.92  with prob <  8.7e-64 
## 
## Tucker Lewis Index of factoring reliability =  0.928
## RMSEA index =  0.057  and the 90 % confidence intervals are  0.051 0.059
## BIC =  -2504.66
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.99 0.97 0.95
## Multiple R square of scores with factors       0.98 0.95 0.89
## Minimum correlation of possible factor scores  0.97 0.90 0.79

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d1_all, nfactors = nfactors_d1_all, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.64  0.37  0.04 0.74 0.26 1.6
## depressed       0.82  0.15 -0.06 0.75 0.25 1.1
## fear            0.20  0.77  0.05 0.76 0.24 1.2
## angry           0.55  0.43  0.03 0.67 0.33 1.9
## calm            0.35  0.55  0.15 0.62 0.38 1.9
## sounds         -0.18  0.07  0.64 0.38 0.62 1.2
## seeing         -0.25  0.39  0.66 0.51 0.49 2.0
## temperature    -0.23  0.23  0.70 0.48 0.52 1.4
## odors          -0.15  0.47  0.47 0.39 0.61 2.2
## depth          -0.02  0.07  0.63 0.40 0.60 1.0
## computations    0.21 -0.83  0.41 0.78 0.22 1.6
## thoughts        0.51  0.35  0.18 0.61 0.39 2.1
## reasoning       0.41 -0.21  0.53 0.55 0.45 2.2
## remembering     0.06 -0.26  0.73 0.59 0.41 1.3
## beliefs         0.80 -0.12  0.03 0.60 0.40 1.0
## hungry         -0.08  0.96 -0.06 0.87 0.13 1.0
## tired           0.15  0.79  0.10 0.76 0.24 1.1
## pain            0.01  0.93  0.02 0.87 0.13 1.0
## nauseated       0.46  0.52  0.05 0.68 0.32 2.0
## safe            0.30  0.61  0.11 0.63 0.37 1.5
## love            0.84  0.13 -0.03 0.79 0.21 1.1
## recognizing     0.21 -0.39  0.69 0.67 0.33 1.8
## communicating   0.08 -0.09  0.65 0.46 0.54 1.1
## guilt           0.85  0.03 -0.08 0.70 0.30 1.0
## disrespected    0.83  0.03 -0.05 0.68 0.32 1.0
## free_will       0.31  0.61  0.07 0.63 0.37 1.5
## choices         0.05  0.20  0.62 0.46 0.54 1.2
## self_restraint  0.51  0.08  0.26 0.45 0.55 1.5
## intentions      0.27  0.45  0.25 0.48 0.52 2.3
## goal            0.04  0.04  0.63 0.42 0.58 1.0
## conscious       0.30  0.62  0.11 0.64 0.36 1.5
## self_aware      0.43  0.39  0.18 0.55 0.45 2.3
## desires         0.34  0.60  0.09 0.66 0.34 1.6
## embarrassed     0.92 -0.06 -0.12 0.76 0.24 1.0
## emo_recog       0.71 -0.16  0.21 0.58 0.42 1.3
## joy             0.69  0.31  0.03 0.76 0.24 1.4
## morality        0.60 -0.23  0.26 0.47 0.53 1.7
## personality     0.64  0.03  0.24 0.58 0.42 1.3
## pleasure        0.37  0.63  0.09 0.74 0.26 1.6
## pride           0.89  0.03 -0.05 0.80 0.20 1.0
## 
##                         MR1  MR2  MR3
## SS loadings           10.74 8.75 5.42
## Proportion Var         0.27 0.22 0.14
## Cumulative Var         0.27 0.49 0.62
## Proportion Explained   0.43 0.35 0.22
## Cumulative Proportion  0.43 0.78 1.00
## 
##  With factor correlations of 
##      MR1  MR2  MR3
## MR1 1.00 0.37 0.31
## MR2 0.37 1.00 0.07
## MR3 0.31 0.07 1.00
## 
## Mean item complexity =  1.5
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  36.39 with Chi Square of  14185
## The degrees of freedom for the model are 663  and the objective function was  3.81 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  405 with the empirical chi square  500.89  with prob <  1 
## The total number of observations was  405  with MLE Chi Square =  1475.92  with prob <  8.7e-64 
## 
## Tucker Lewis Index of factoring reliability =  0.928
## RMSEA index =  0.057  and the 90 % confidence intervals are  0.051 0.059
## BIC =  -2504.66
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.98 0.98 0.96
## Multiple R square of scores with factors       0.97 0.97 0.92
## Minimum correlation of possible factor scores  0.94 0.94 0.83

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Factor 1
Study 1, ALL conditions: Rotated Factor 1
F1
embarrassed 0.9228937
pride 0.8945059
guilt 0.8484749
love 0.8417446
disrespected 0.8264310
depressed 0.8156898
beliefs 0.7980020
emo_recog 0.7113350
joy 0.6932942
personality 0.6376583
happy 0.6369713
morality 0.6021238
angry 0.5508657
self_restraint 0.5130066
thoughts 0.5054220
nauseated 0.4582169
self_aware 0.4305748
reasoning 0.4070638
pleasure 0.3670847
calm 0.3484908
desires 0.3421277
free_will 0.3070096
conscious 0.2982672
safe 0.2982458
intentions 0.2662791
recognizing 0.2091420
computations 0.2053265
fear 0.2040970
tired 0.1452956
communicating 0.0848910
remembering 0.0558812
choices 0.0484128
goal 0.0442204
pain 0.0099079
depth -0.0240432
hungry -0.0776165
odors -0.1526497
sounds -0.1841127
temperature -0.2295365
seeing -0.2483799
Factor 2
Study 1, ALL conditions: Rotated Factor 2
F2
hungry 0.9588119
pain 0.9271916
tired 0.7888848
fear 0.7652879
pleasure 0.6345984
conscious 0.6153394
free_will 0.6120139
safe 0.6081339
desires 0.5955359
calm 0.5456005
nauseated 0.5203679
odors 0.4671979
intentions 0.4473883
angry 0.4267135
seeing 0.3932155
self_aware 0.3899387
happy 0.3736663
thoughts 0.3517709
joy 0.3145155
temperature 0.2316157
choices 0.1951185
depressed 0.1490315
love 0.1340875
self_restraint 0.0789698
depth 0.0736936
sounds 0.0701252
goal 0.0355477
pride 0.0340212
personality 0.0330797
disrespected 0.0265947
guilt 0.0265457
embarrassed -0.0613526
communicating -0.0884732
beliefs -0.1203219
emo_recog -0.1550780
reasoning -0.2119770
morality -0.2263495
remembering -0.2622649
recognizing -0.3909548
computations -0.8289663
Factor 3
Study 1, ALL conditions: Rotated Factor 3
F3
remembering 0.7278710
temperature 0.7023329
recognizing 0.6896204
seeing 0.6559154
communicating 0.6533678
sounds 0.6438999
depth 0.6339327
goal 0.6326415
choices 0.6152179
reasoning 0.5296171
odors 0.4656534
computations 0.4076095
self_restraint 0.2588627
morality 0.2563432
intentions 0.2543466
personality 0.2449917
emo_recog 0.2097829
self_aware 0.1804555
thoughts 0.1793403
calm 0.1493519
safe 0.1088986
conscious 0.1051998
tired 0.0963354
desires 0.0896815
pleasure 0.0879222
free_will 0.0708412
fear 0.0531607
nauseated 0.0503223
happy 0.0359296
beliefs 0.0348745
joy 0.0326060
angry 0.0285722
pain 0.0227799
love -0.0323704
pride -0.0472171
disrespected -0.0529288
hungry -0.0565903
depressed -0.0573755
guilt -0.0782081
embarrassed -0.1173760

back to TOC

Predict latent variable structure for CFA in follow-up studies

Extract latent variable structure

## Joining by: "order"
## Joining by: "order"
Study 1: Factor structure
order mc_MR1 loading_MR1 mc_MR2 loading_MR2 mc_MR3 loading_MR3
1 embarrassed 0.92 hungry 0.96 remembering 0.73
2 pride 0.89 pain 0.93 temperature 0.70
3 guilt 0.85 tired 0.79 recognizing 0.69
4 love 0.84 fear 0.77 seeing 0.66
5 disrespected 0.83 pleasure 0.63 communicating 0.65
6 depressed 0.82 conscious 0.62 sounds 0.64
7 beliefs 0.80 free_will 0.61 depth 0.63
8 emo_recog 0.71 safe 0.61 goal 0.63
9 joy 0.69 desires 0.60 choices 0.62
10 personality 0.64 calm 0.55 reasoning 0.53
11 happy 0.64 nauseated 0.52 computations 0.41
12 morality 0.60 odors 0.47 NA NA
13 angry 0.55 intentions 0.45 NA NA
14 self_restraint 0.51 NA NA NA NA
15 thoughts 0.51 NA NA NA NA
16 self_aware 0.43 NA NA NA NA

ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)

## lavaan (0.5-20) converged normally after  68 iterations
## 
##   Number of observations                           405
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             3776.867
##   Degrees of freedom                               737
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic            14736.878
##   Degrees of freedom                               780
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.782
##   Tucker-Lewis Index (TLI)                       0.769
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -26944.450
##   Loglikelihood unrestricted model (H1)     -25056.016
## 
##   Number of free parameters                         83
##   Akaike (AIC)                               54054.900
##   Bayesian (BIC)                             54387.223
##   Sample-size adjusted Bayesian (BIC)        54123.853
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.101
##   90 Percent Confidence Interval          0.098  0.104
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.134
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 =~                                              
##     embarrassed       1.000                           
##     pride             1.211    0.053   22.852    0.000
##     guilt             0.941    0.046   20.657    0.000
##     love              1.377    0.058   23.554    0.000
##     disrespected      1.021    0.051   19.849    0.000
##     depressed         1.195    0.054   22.301    0.000
##     beliefs           1.023    0.060   17.114    0.000
##     emo_recog         1.101    0.071   15.614    0.000
##     joy               1.486    0.067   22.126    0.000
##     personality       1.228    0.072   17.070    0.000
##     happy             1.446    0.068   21.123    0.000
##     morality          0.897    0.075   11.946    0.000
##     angry             1.391    0.075   18.656    0.000
##     self_restraint    1.087    0.077   14.048    0.000
##     thoughts          1.375    0.079   17.439    0.000
##     self_aware        1.281    0.082   15.708    0.000
##   MR2 =~                                              
##     hungry            1.000                           
##     pain              0.965    0.045   21.652    0.000
##     tired             0.857    0.040   21.254    0.000
##     fear              0.909    0.042   21.780    0.000
##     pleasure          0.764    0.036   21.430    0.000
##     conscious         0.756    0.040   19.037    0.000
##     free_will         0.762    0.040   18.831    0.000
##     safe              0.764    0.040   19.266    0.000
##     desires           0.758    0.039   19.579    0.000
##     calm              0.712    0.038   18.709    0.000
##     nauseated         0.583    0.030   19.122    0.000
##     odors             0.429    0.047    9.050    0.000
##     intentions        0.633    0.043   14.840    0.000
##   MR3 =~                                              
##     remembering       1.000                           
##     temperature       0.654    0.057   11.419    0.000
##     recognizing       1.034    0.067   15.343    0.000
##     seeing            0.653    0.063   10.386    0.000
##     communicating     0.840    0.061   13.750    0.000
##     sounds            0.567    0.053   10.737    0.000
##     depth             0.822    0.068   12.068    0.000
##     goal              0.857    0.068   12.582    0.000
##     choices           0.782    0.065   12.083    0.000
##     reasoning         0.840    0.063   13.264    0.000
##     computations      0.809    0.087    9.312    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 ~~                                              
##     MR2               1.492    0.147   10.123    0.000
##     MR3               0.500    0.089    5.641    0.000
##   MR2 ~~                                              
##     MR3               0.494    0.183    2.694    0.007
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     embarrassed       0.417    0.032   13.204    0.000
##     pride             0.401    0.032   12.664    0.000
##     guilt             0.380    0.029   13.234    0.000
##     love              0.441    0.036   12.387    0.000
##     disrespected      0.521    0.039   13.375    0.000
##     depressed         0.440    0.034   12.841    0.000
##     beliefs           0.856    0.062   13.708    0.000
##     emo_recog         1.294    0.094   13.830    0.000
##     joy               0.706    0.055   12.892    0.000
##     personality       1.243    0.091   13.712    0.000
##     happy             0.819    0.062   13.139    0.000
##     morality          1.708    0.122   14.029    0.000
##     angry             1.202    0.089   13.543    0.000
##     self_restraint    1.675    0.120   13.929    0.000
##     thoughts          1.459    0.107   13.677    0.000
##     self_aware        1.722    0.125   13.823    0.000
##     hungry            2.305    0.175   13.183    0.000
##     pain              1.361    0.108   12.575    0.000
##     tired             1.180    0.093   12.724    0.000
##     fear              1.171    0.094   12.523    0.000
##     pleasure          0.900    0.071   12.661    0.000
##     conscious         1.475    0.111   13.294    0.000
##     free_will         1.560    0.117   13.332    0.000
##     safe              1.439    0.109   13.250    0.000
##     desires           1.327    0.101   13.185    0.000
##     calm              1.394    0.104   13.353    0.000
##     nauseated         0.860    0.065   13.278    0.000
##     odors             3.577    0.254   14.106    0.000
##     intentions        2.307    0.167   13.811    0.000
##     remembering       1.874    0.157   11.938    0.000
##     temperature       2.030    0.152   13.331    0.000
##     recognizing       1.813    0.155   11.694    0.000
##     seeing            2.635    0.195   13.539    0.000
##     communicating     1.858    0.147   12.602    0.000
##     sounds            1.816    0.135   13.474    0.000
##     depth             2.731    0.207   13.172    0.000
##     goal              2.607    0.200   13.025    0.000
##     choices           2.464    0.187   13.167    0.000
##     reasoning         2.106    0.165   12.796    0.000
##     computations      5.360    0.391   13.709    0.000
##     MR1               0.925    0.090   10.233    0.000
##     MR2               4.558    0.459    9.930    0.000
##     MR3               2.454    0.287    8.546    0.000

ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)

## lavaan (0.5-20) converged normally after  45 iterations
## 
##   Number of observations                           405
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic              619.030
##   Degrees of freedom                               101
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             3817.954
##   Degrees of freedom                               120
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.860
##   Tucker-Lewis Index (TLI)                       0.834
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -11579.778
##   Loglikelihood unrestricted model (H1)     -11270.263
## 
##   Number of free parameters                         35
##   Akaike (AIC)                               23229.557
##   Bayesian (BIC)                             23369.693
##   Sample-size adjusted Bayesian (BIC)        23258.633
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.113
##   90 Percent Confidence Interval          0.104  0.121
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.094
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect =~                                           
##     happy             1.000                           
##     depressed         0.712    0.032   22.463    0.000
##     fear              1.064    0.058   18.257    0.000
##     angry             0.939    0.041   23.042    0.000
##     calm              0.957    0.049   19.501    0.000
##     joy               0.988    0.035   28.454    0.000
##   perception =~                                       
##     sounds            1.000                           
##     seeing            1.393    0.121   11.506    0.000
##     temperature       1.304    0.112   11.665    0.000
##     odors             1.299    0.126   10.275    0.000
##     depth             1.228    0.125    9.856    0.000
##   autonomy =~                                         
##     free_will         1.000                           
##     choices           0.699    0.067   10.466    0.000
##     self_restraint    0.661    0.055   11.924    0.000
##     intentions        0.952    0.067   14.196    0.000
##     goal              0.586    0.071    8.261    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect ~~                                           
##     perception        0.461    0.096    4.820    0.000
##     autonomy          2.026    0.189   10.693    0.000
##   perception ~~                                       
##     autonomy          0.855    0.124    6.880    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     happy             0.475    0.047   10.057    0.000
##     depressed         0.607    0.048   12.601    0.000
##     fear              2.362    0.178   13.302    0.000
##     angry             0.982    0.079   12.472    0.000
##     calm              1.617    0.123   13.130    0.000
##     joy               0.523    0.050   10.520    0.000
##     sounds            1.557    0.128   12.202    0.000
##     seeing            1.648    0.158   10.461    0.000
##     temperature       1.297    0.129   10.041    0.000
##     odors             2.647    0.217   12.217    0.000
##     depth             2.810    0.224   12.542    0.000
##     free_will         1.819    0.159   11.403    0.000
##     choices           2.802    0.209   13.400    0.000
##     self_restraint    1.726    0.133   13.007    0.000
##     intentions        1.970    0.165   11.909    0.000
##     goal              3.589    0.260   13.780    0.000
##     affect            2.277    0.193   11.775    0.000
##     perception        1.048    0.161    6.519    0.000
##     autonomy          2.387    0.283    8.433    0.000

ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)

## lavaan (0.5-20) converged normally after  43 iterations
## 
##   Number of observations                           405
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             1816.523
##   Degrees of freedom                               134
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             5604.203
##   Degrees of freedom                               153
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.691
##   Tucker-Lewis Index (TLI)                       0.648
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -12787.515
##   Loglikelihood unrestricted model (H1)     -11879.253
## 
##   Number of free parameters                         37
##   Akaike (AIC)                               25649.030
##   Bayesian (BIC)                             25797.174
##   Sample-size adjusted Bayesian (BIC)        25679.768
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.176
##   90 Percent Confidence Interval          0.169  0.183
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.147
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience =~                                       
##     hungry            1.000                           
##     fear              0.989    0.060   16.405    0.000
##     pain              1.002    0.064   15.593    0.000
##     pleasure          0.882    0.051   17.236    0.000
##     angry             0.752    0.047   16.016    0.000
##     desires           0.879    0.054   16.302    0.000
##     personality       0.512    0.044   11.582    0.000
##     conscious         0.856    0.055   15.606    0.000
##     pride             0.496    0.036   13.749    0.000
##     embarrassed       0.384    0.032   12.178    0.000
##     joy               0.713    0.045   15.859    0.000
##   agency =~                                           
##     self_restraint    1.000                           
##     morality          0.818    0.068   12.040    0.000
##     remembering       0.592    0.090    6.538    0.000
##     emo_recog         0.924    0.068   13.662    0.000
##     goal              0.744    0.091    8.155    0.000
##     communicating     0.678    0.082    8.239    0.000
##     thoughts          1.075    0.078   13.787    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience ~~                                       
##     agency            1.599    0.185    8.661    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     hungry            3.374    0.251   13.433    0.000
##     fear              1.525    0.122   12.496    0.000
##     pain              2.102    0.162   12.941    0.000
##     pleasure          0.845    0.072   11.739    0.000
##     angry             1.020    0.080   12.734    0.000
##     desires           1.253    0.100   12.564    0.000
##     personality       1.724    0.125   13.822    0.000
##     conscious         1.526    0.118   12.935    0.000
##     pride             0.902    0.067   13.497    0.000
##     embarrassed       0.828    0.060   13.752    0.000
##     joy               0.971    0.076   12.816    0.000
##     self_restraint    1.245    0.112   11.150    0.000
##     morality          1.434    0.115   12.455    0.000
##     remembering       3.795    0.273   13.883    0.000
##     emo_recog         1.115    0.099   11.292    0.000
##     goal              3.566    0.261   13.645    0.000
##     communicating     2.889    0.212   13.630    0.000
##     thoughts          1.445    0.130   11.162    0.000
##     experience        3.488    0.428    8.149    0.000
##     agency            1.523    0.187    8.139    0.000

Compare models (if possible)

# compare models (iff continuous and ML)
customVuong(d1_all_fitDD, d1_all_fitWDM, d1_all_fitGGW)
## $mod1_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 118.088,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -70.258,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -70.258,   p = < 2.2e-16
## 
## $mod1_v_mod3
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 71.223,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -83.355,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -83.355,   p = < 2.2e-16
## 
## $mod3_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 26.088,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -11.750,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -11.750,   p = < 2.2e-16
## 
## $winner
## [1] "WDM"

back to TOC

Study 2 (2016-01-12, 2 conditions, between-subjects - REPLICATION)

Demographics

Study 2: Exclusion
did_not_finish failed_catch_trial did_not_provide_yob too_young TOTAL_excluded TOTAL_participated OVERALL_TOTAL
0 0 13 0 13 406 419
Study 2: Sample size
condition n
beetle 202
robot 204
all 406
Study 2: Study duration (minutes)
condition min_duration max_duration median_duration mean_duration sd_duration
beetle 0.92 28.95 2.69 3.54 3.17
robot 1.00 16.72 2.52 3.18 2.17
all 0.92 28.95 2.63 3.36 2.72
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")
## Warning: joining character vector and factor, coercing into character
## vector
Study 2: Participant age (years; approximate)
condition min_age max_age median_age mean_age sd_age
beetle 20 70 32 34.95 10.99
robot 20 70 33 35.60 10.92
all 20 70 33 35.28 10.95
Study 2: Participant gender
condition m f other
beetle 93 108 1
robot 106 97 1
all 199 205 2
Study 2: Participant race/ethnicity
condition asian_east asian_south black hispanic middle_eastern multiracial native_american other_prefno pac_islander white
beetle 8 7 12 11 0 3 1 1 0 159
robot 14 1 14 10 1 5 1 2 1 155
all 22 8 26 21 1 8 2 3 1 314
Study 2: Participant religion
condition buddhism christianity hinduism islam judaism multireligious none other other_prefno
beetle 6 80 1 3 5 1 95 6 5
robot 3 85 0 2 2 1 105 4 2
all 9 165 1 5 7 2 200 10 7

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Exploratory factor analysis

EFA: BEETLE condition

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_beetle, nfactors = nfactors_d2_beetle, rotate = "none", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                 MR1   MR2   h2   u2 com
## happy          0.81 -0.05 0.66 0.34 1.0
## depressed      0.73 -0.29 0.62 0.38 1.3
## fear           0.59  0.37 0.48 0.52 1.7
## angry          0.65  0.04 0.43 0.57 1.0
## calm           0.73  0.21 0.58 0.42 1.2
## sounds         0.43  0.57 0.51 0.49 1.9
## seeing         0.38  0.65 0.56 0.44 1.6
## temperature    0.34  0.56 0.43 0.57 1.7
## odors          0.40  0.56 0.48 0.52 1.8
## depth          0.42  0.32 0.28 0.72 1.9
## computations   0.51 -0.31 0.36 0.64 1.6
## thoughts       0.76  0.02 0.58 0.42 1.0
## reasoning      0.70 -0.12 0.50 0.50 1.1
## remembering    0.59  0.28 0.43 0.57 1.4
## beliefs        0.59 -0.38 0.49 0.51 1.7
## hungry         0.25  0.63 0.46 0.54 1.3
## tired          0.59  0.40 0.51 0.49 1.8
## pain           0.44  0.49 0.43 0.57 2.0
## nauseated      0.61  0.05 0.37 0.63 1.0
## safe           0.62  0.29 0.46 0.54 1.4
## love           0.72 -0.29 0.60 0.40 1.3
## recognizing    0.66  0.02 0.44 0.56 1.0
## communicating  0.55  0.41 0.48 0.52 1.8
## guilt          0.64 -0.54 0.70 0.30 1.9
## disrespected   0.59 -0.40 0.51 0.49 1.8
## free_will      0.53  0.30 0.37 0.63 1.6
## choices        0.62  0.36 0.51 0.49 1.6
## self_restraint 0.66 -0.26 0.50 0.50 1.3
## intentions     0.56  0.36 0.44 0.56 1.7
## goal           0.51  0.39 0.41 0.59 1.9
## conscious      0.55  0.37 0.44 0.56 1.7
## self_aware     0.71 -0.01 0.50 0.50 1.0
## desires        0.68  0.12 0.48 0.52 1.1
## embarrassed    0.60 -0.54 0.65 0.35 2.0
## emo_recog      0.75 -0.33 0.67 0.33 1.4
## joy            0.78  0.01 0.61 0.39 1.0
## morality       0.61 -0.44 0.56 0.44 1.8
## personality    0.80 -0.10 0.65 0.35 1.0
## pleasure       0.73  0.13 0.55 0.45 1.1
## pride          0.65 -0.44 0.62 0.38 1.7
## 
##                         MR1  MR2
## SS loadings           15.16 5.20
## Proportion Var         0.38 0.13
## Cumulative Var         0.38 0.51
## Proportion Explained   0.74 0.26
## Cumulative Proportion  0.74 1.00
## 
## Mean item complexity =  1.5
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  29.93 with Chi Square of  5592.38
## The degrees of freedom for the model are 701  and the objective function was  6.75 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  202 with the empirical chi square  735.39  with prob <  0.18 
## The total number of observations was  202  with MLE Chi Square =  1251.92  with prob <  1.2e-33 
## 
## Tucker Lewis Index of factoring reliability =  0.872
## RMSEA index =  0.068  and the 90 % confidence intervals are  0.057 NA
## BIC =  -2469.17
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.99 0.96
## Multiple R square of scores with factors       0.97 0.92
## Minimum correlation of possible factor scores  0.94 0.83

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_beetle, nfactors = nfactors_d2_beetle, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.62  0.35 0.66 0.34 1.6
## depressed       0.76  0.08 0.62 0.38 1.0
## fear            0.14  0.64 0.48 0.52 1.1
## angry           0.45  0.35 0.43 0.57 1.9
## calm            0.37  0.55 0.58 0.42 1.8
## sounds         -0.13  0.75 0.51 0.49 1.1
## seeing         -0.23  0.80 0.56 0.44 1.2
## temperature    -0.19  0.70 0.43 0.57 1.1
## odors          -0.14  0.72 0.48 0.52 1.1
## depth           0.06  0.51 0.28 0.72 1.0
## computations    0.61 -0.04 0.36 0.64 1.0
## thoughts        0.53  0.39 0.58 0.42 1.8
## reasoning       0.60  0.23 0.50 0.50 1.3
## remembering     0.21  0.56 0.43 0.57 1.3
## beliefs         0.72 -0.07 0.49 0.51 1.0
## hungry         -0.30  0.71 0.46 0.54 1.3
## tired           0.12  0.67 0.51 0.49 1.1
## pain           -0.06  0.67 0.43 0.57 1.0
## nauseated       0.40  0.34 0.37 0.63 1.9
## safe            0.23  0.57 0.46 0.54 1.3
## love            0.75  0.07 0.60 0.40 1.0
## recognizing     0.47  0.34 0.44 0.56 1.8
## communicating   0.09  0.66 0.48 0.52 1.0
## guilt           0.88 -0.20 0.70 0.30 1.1
## disrespected    0.74 -0.09 0.51 0.49 1.0
## free_will       0.16  0.54 0.37 0.63 1.2
## choices         0.17  0.64 0.51 0.49 1.1
## self_restraint  0.68  0.07 0.50 0.50 1.0
## intentions      0.13  0.61 0.44 0.56 1.1
## goal            0.07  0.61 0.41 0.59 1.0
## conscious       0.12  0.62 0.44 0.56 1.1
## self_aware      0.52  0.34 0.50 0.50 1.7
## desires         0.40  0.45 0.48 0.52 2.0
## embarrassed     0.85 -0.22 0.65 0.35 1.1
## emo_recog       0.80  0.05 0.67 0.33 1.0
## joy             0.56  0.39 0.61 0.39 1.8
## morality        0.78 -0.12 0.56 0.44 1.0
## personality     0.66  0.29 0.65 0.35 1.4
## pleasure        0.43  0.48 0.55 0.45 2.0
## pride           0.81 -0.09 0.62 0.38 1.0
## 
##                         MR1  MR2
## SS loadings           10.66 9.70
## Proportion Var         0.27 0.24
## Cumulative Var         0.27 0.51
## Proportion Explained   0.52 0.48
## Cumulative Proportion  0.52 1.00
## 
##  With factor correlations of 
##      MR1  MR2
## MR1 1.00 0.33
## MR2 0.33 1.00
## 
## Mean item complexity =  1.3
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  29.93 with Chi Square of  5592.38
## The degrees of freedom for the model are 701  and the objective function was  6.75 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  202 with the empirical chi square  735.39  with prob <  0.18 
## The total number of observations was  202  with MLE Chi Square =  1251.92  with prob <  1.2e-33 
## 
## Tucker Lewis Index of factoring reliability =  0.872
## RMSEA index =  0.068  and the 90 % confidence intervals are  0.057 NA
## BIC =  -2469.17
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.98 0.97
## Multiple R square of scores with factors       0.96 0.95
## Minimum correlation of possible factor scores  0.92 0.89

back to TOC

Factor 1
Study 2, BEETLE condition: Rotated Factor 1
F1
guilt 0.8803545
embarrassed 0.8542553
pride 0.8134527
emo_recog 0.8016504
morality 0.7796767
depressed 0.7579188
love 0.7475632
disrespected 0.7378570
beliefs 0.7237554
self_restraint 0.6782371
personality 0.6622739
happy 0.6247966
computations 0.6148052
reasoning 0.5981875
joy 0.5595771
thoughts 0.5322581
self_aware 0.5203008
recognizing 0.4713972
angry 0.4472759
pleasure 0.4348482
nauseated 0.4041003
desires 0.4037717
calm 0.3731078
safe 0.2282987
remembering 0.2128353
choices 0.1723475
free_will 0.1553498
fear 0.1365334
intentions 0.1298634
tired 0.1208708
conscious 0.1178029
communicating 0.0861402
goal 0.0719750
depth 0.0557840
pain -0.0555170
sounds -0.1254721
odors -0.1419015
temperature -0.1855424
seeing -0.2252028
hungry -0.3005706
Factor 2
Study 2, BEETLE condition: Rotated Factor 2
F2
seeing 0.7955594
sounds 0.7456164
odors 0.7248234
hungry 0.7141059
temperature 0.6961565
pain 0.6724988
tired 0.6683506
communicating 0.6559583
fear 0.6369419
choices 0.6367620
conscious 0.6160587
goal 0.6141723
intentions 0.6118067
safe 0.5707932
remembering 0.5551369
calm 0.5524617
free_will 0.5412922
depth 0.5052081
pleasure 0.4770327
desires 0.4469858
thoughts 0.3920599
joy 0.3911016
angry 0.3532373
happy 0.3521854
nauseated 0.3410370
recognizing 0.3380248
self_aware 0.3379393
personality 0.2906303
reasoning 0.2260208
depressed 0.0840683
self_restraint 0.0740691
love 0.0740191
emo_recog 0.0526682
computations -0.0433805
beliefs -0.0706573
disrespected -0.0923191
pride -0.0935499
morality -0.1178541
guilt -0.1977198
embarrassed -0.2160513
Factor 3 (not applicable)

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EFA: ROBOT condition

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_robot, nfactors = nfactors_d2_robot, rotate = "none", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.86 -0.08 0.74 0.26 1.0
## depressed       0.90 -0.12 0.82 0.18 1.0
## fear            0.91 -0.04 0.83 0.17 1.0
## angry           0.86 -0.04 0.73 0.27 1.0
## calm            0.58  0.18 0.36 0.64 1.2
## sounds         -0.04  0.70 0.49 0.51 1.0
## seeing          0.20  0.71 0.54 0.46 1.2
## temperature     0.08  0.64 0.42 0.58 1.0
## odors           0.19  0.56 0.35 0.65 1.2
## depth           0.10  0.55 0.31 0.69 1.1
## computations   -0.15  0.65 0.44 0.56 1.1
## thoughts        0.62  0.23 0.44 0.56 1.3
## reasoning       0.32  0.55 0.40 0.60 1.6
## remembering     0.10  0.71 0.52 0.48 1.0
## beliefs         0.67  0.15 0.47 0.53 1.1
## hungry          0.84 -0.13 0.72 0.28 1.1
## tired           0.79 -0.05 0.63 0.37 1.0
## pain            0.84 -0.12 0.73 0.27 1.0
## nauseated       0.84 -0.14 0.72 0.28 1.1
## safe            0.73  0.05 0.53 0.47 1.0
## love            0.87 -0.10 0.77 0.23 1.0
## recognizing     0.22  0.69 0.52 0.48 1.2
## communicating   0.13  0.71 0.53 0.47 1.1
## guilt           0.90 -0.10 0.81 0.19 1.0
## disrespected    0.87 -0.05 0.76 0.24 1.0
## free_will       0.54  0.09 0.30 0.70 1.1
## choices         0.18  0.70 0.52 0.48 1.1
## self_restraint  0.43  0.37 0.32 0.68 1.9
## intentions      0.52  0.35 0.39 0.61 1.7
## goal            0.19  0.72 0.55 0.45 1.1
## conscious       0.66  0.12 0.45 0.55 1.1
## self_aware      0.57  0.31 0.42 0.58 1.5
## desires         0.84  0.03 0.71 0.29 1.0
## embarrassed     0.85 -0.10 0.73 0.27 1.0
## emo_recog       0.60  0.32 0.46 0.54 1.5
## joy             0.87 -0.05 0.76 0.24 1.0
## morality        0.49  0.40 0.40 0.60 1.9
## personality     0.56  0.29 0.39 0.61 1.5
## pleasure        0.85 -0.07 0.72 0.28 1.0
## pride           0.92 -0.07 0.86 0.14 1.0
## 
##                         MR1  MR2
## SS loadings           16.42 6.19
## Proportion Var         0.41 0.15
## Cumulative Var         0.41 0.57
## Proportion Explained   0.73 0.27
## Cumulative Proportion  0.73 1.00
## 
## Mean item complexity =  1.2
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  38.55 with Chi Square of  7279.24
## The degrees of freedom for the model are 701  and the objective function was  8.25 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  204 with the empirical chi square  661.88  with prob <  0.85 
## The total number of observations was  204  with MLE Chi Square =  1547.07  with prob <  1.1e-65 
## 
## Tucker Lewis Index of factoring reliability =  0.854
## RMSEA index =  0.083  and the 90 % confidence intervals are  0.072 NA
## BIC =  -2180.93
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.99 0.96
## Multiple R square of scores with factors       0.98 0.92
## Minimum correlation of possible factor scores  0.97 0.85

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_robot, nfactors = nfactors_d2_robot, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   h2   u2 com
## happy           0.86 -0.03 0.74 0.26 1.0
## depressed       0.92 -0.08 0.82 0.18 1.0
## fear            0.91  0.01 0.83 0.17 1.0
## angry           0.86  0.01 0.73 0.27 1.0
## calm            0.53  0.21 0.36 0.64 1.3
## sounds         -0.19  0.71 0.49 0.51 1.1
## seeing          0.04  0.73 0.54 0.46 1.0
## temperature    -0.07  0.66 0.42 0.58 1.0
## odors           0.07  0.57 0.35 0.65 1.0
## depth          -0.03  0.56 0.31 0.69 1.0
## computations   -0.29  0.65 0.44 0.56 1.4
## thoughts        0.57  0.26 0.44 0.56 1.4
## reasoning       0.19  0.57 0.40 0.60 1.2
## remembering    -0.06  0.73 0.52 0.48 1.0
## beliefs         0.63  0.19 0.47 0.53 1.2
## hungry          0.86 -0.09 0.72 0.28 1.0
## tired           0.79  0.00 0.63 0.37 1.0
## pain            0.86 -0.07 0.73 0.27 1.0
## nauseated       0.86 -0.10 0.72 0.28 1.0
## safe            0.71  0.09 0.53 0.47 1.0
## love            0.89 -0.05 0.77 0.23 1.0
## recognizing     0.07  0.71 0.52 0.48 1.0
## communicating  -0.03  0.73 0.53 0.47 1.0
## guilt           0.91 -0.05 0.81 0.19 1.0
## disrespected    0.87  0.00 0.76 0.24 1.0
## free_will       0.51  0.12 0.30 0.70 1.1
## choices         0.02  0.72 0.52 0.48 1.0
## self_restraint  0.35  0.40 0.32 0.68 2.0
## intentions      0.44  0.38 0.39 0.61 2.0
## goal            0.03  0.74 0.55 0.45 1.0
## conscious       0.62  0.16 0.45 0.55 1.1
## self_aware      0.50  0.35 0.42 0.58 1.8
## desires         0.82  0.08 0.71 0.29 1.0
## embarrassed     0.86 -0.06 0.73 0.27 1.0
## emo_recog       0.52  0.35 0.46 0.54 1.8
## joy             0.87 -0.01 0.76 0.24 1.0
## morality        0.40  0.43 0.40 0.60 2.0
## personality     0.49  0.32 0.39 0.61 1.7
## pleasure        0.86 -0.03 0.72 0.28 1.0
## pride           0.93 -0.03 0.86 0.14 1.0
## 
##                         MR1  MR2
## SS loadings           15.89 6.71
## Proportion Var         0.40 0.17
## Cumulative Var         0.40 0.57
## Proportion Explained   0.70 0.30
## Cumulative Proportion  0.70 1.00
## 
##  With factor correlations of 
##      MR1  MR2
## MR1 1.00 0.17
## MR2 0.17 1.00
## 
## Mean item complexity =  1.2
## Test of the hypothesis that 2 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  38.55 with Chi Square of  7279.24
## The degrees of freedom for the model are 701  and the objective function was  8.25 
## 
## The root mean square of the residuals (RMSR) is  0.05 
## The df corrected root mean square of the residuals is  0.05 
## 
## The harmonic number of observations is  204 with the empirical chi square  661.88  with prob <  0.85 
## The total number of observations was  204  with MLE Chi Square =  1547.07  with prob <  1.1e-65 
## 
## Tucker Lewis Index of factoring reliability =  0.854
## RMSEA index =  0.083  and the 90 % confidence intervals are  0.072 NA
## BIC =  -2180.93
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2
## Correlation of scores with factors             0.99 0.96
## Multiple R square of scores with factors       0.98 0.93
## Minimum correlation of possible factor scores  0.97 0.85

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Factor 1
Study 2, ROBOT condition: Rotated Factor 1
F1
pride 0.9305553
depressed 0.9178856
fear 0.9112457
guilt 0.9101970
love 0.8869788
joy 0.8732872
disrespected 0.8711814
happy 0.8648991
embarrassed 0.8632728
nauseated 0.8618791
pain 0.8617204
hungry 0.8594841
angry 0.8555406
pleasure 0.8553076
desires 0.8249609
tired 0.7932471
safe 0.7115840
beliefs 0.6295444
conscious 0.6211557
thoughts 0.5681323
calm 0.5308524
emo_recog 0.5227627
free_will 0.5118449
self_aware 0.4970889
personality 0.4891627
intentions 0.4388387
morality 0.3956186
self_restraint 0.3472334
reasoning 0.1926771
recognizing 0.0663543
odors 0.0661537
seeing 0.0365123
goal 0.0316102
choices 0.0188257
communicating -0.0266782
depth -0.0275297
remembering -0.0625296
temperature -0.0682218
sounds -0.1939118
computations -0.2922289
Factor 2
Study 2, ROBOT condition: Rotated Factor 2
F2
goal 0.7390096
seeing 0.7308093
communicating 0.7303912
remembering 0.7291375
choices 0.7165656
sounds 0.7081143
recognizing 0.7059270
temperature 0.6556088
computations 0.6460425
odors 0.5740639
reasoning 0.5700562
depth 0.5649050
morality 0.4322313
self_restraint 0.3954423
intentions 0.3786108
emo_recog 0.3533344
self_aware 0.3450476
personality 0.3204362
thoughts 0.2624261
calm 0.2087978
beliefs 0.1871683
conscious 0.1612716
free_will 0.1206103
safe 0.0860659
desires 0.0801130
fear 0.0080766
angry 0.0076457
disrespected 0.0011771
tired -0.0044641
joy -0.0052948
pride -0.0250570
pleasure -0.0265126
happy -0.0330416
love -0.0499342
guilt -0.0549815
embarrassed -0.0554178
pain -0.0711324
depressed -0.0774049
hungry -0.0906640
nauseated -0.0959285
Factor 3 (not applicable)

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EFA: ALL conditions

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_all, nfactors = nfactors_d2_all, rotate = "none", fm = "minres", 
##     cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.82  0.16 -0.15 0.72 0.28 1.1
## depressed       0.74  0.26 -0.31 0.71 0.29 1.6
## fear            0.81 -0.27  0.11 0.75 0.25 1.3
## angry           0.78  0.02 -0.08 0.61 0.39 1.0
## calm            0.73  0.07  0.10 0.55 0.45 1.1
## sounds          0.14  0.31  0.63 0.52 0.48 1.6
## seeing          0.41  0.10  0.62 0.56 0.44 1.8
## temperature     0.27  0.12  0.58 0.43 0.57 1.5
## odors           0.46 -0.02  0.49 0.45 0.55 2.0
## depth           0.17  0.33  0.44 0.34 0.66 2.2
## computations   -0.42  0.77  0.15 0.79 0.21 1.6
## thoughts        0.75  0.14  0.04 0.58 0.42 1.1
## reasoning       0.24  0.61  0.19 0.47 0.53 1.5
## remembering     0.07  0.59  0.47 0.58 0.42 1.9
## beliefs         0.47  0.43 -0.18 0.44 0.56 2.3
## hungry          0.72 -0.58  0.11 0.86 0.14 2.0
## tired           0.80 -0.33  0.15 0.77 0.23 1.4
## pain            0.77 -0.46  0.13 0.82 0.18 1.7
## nauseated       0.73 -0.05 -0.05 0.54 0.46 1.0
## safe            0.77 -0.11  0.08 0.62 0.38 1.1
## love            0.72  0.25 -0.28 0.66 0.34 1.6
## recognizing     0.06  0.71  0.30 0.59 0.41 1.4
## communicating   0.26  0.40  0.55 0.54 0.46 2.3
## guilt           0.60  0.43 -0.44 0.73 0.27 2.7
## disrespected    0.61  0.33 -0.35 0.60 0.40 2.2
## free_will       0.70 -0.21  0.15 0.56 0.44 1.3
## choices         0.38  0.35  0.51 0.53 0.47 2.7
## self_restraint  0.41  0.44  0.01 0.37 0.63 2.0
## intentions      0.65  0.03  0.26 0.50 0.50 1.3
## goal            0.32  0.35  0.52 0.49 0.51 2.5
## conscious       0.75 -0.19  0.15 0.62 0.38 1.2
## self_aware      0.69  0.20  0.04 0.52 0.48 1.2
## desires         0.80 -0.01  0.02 0.64 0.36 1.0
## embarrassed     0.57  0.40 -0.43 0.67 0.33 2.7
## emo_recog       0.48  0.56 -0.08 0.55 0.45 2.0
## joy             0.81  0.15 -0.11 0.69 0.31 1.1
## morality        0.29  0.60 -0.05 0.45 0.55 1.5
## personality     0.56  0.46 -0.01 0.53 0.47 1.9
## pleasure        0.83 -0.07 -0.01 0.70 0.30 1.0
## pride           0.66  0.37 -0.38 0.71 0.29 2.2
## 
##                         MR1  MR2  MR3
## SS loadings           14.51 5.38 3.87
## Proportion Var         0.36 0.13 0.10
## Cumulative Var         0.36 0.50 0.59
## Proportion Explained   0.61 0.23 0.16
## Cumulative Proportion  0.61 0.84 1.00
## 
## Mean item complexity =  1.7
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  33.07 with Chi Square of  12924.08
## The degrees of freedom for the model are 663  and the objective function was  3.93 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  406 with the empirical chi square  607.3  with prob <  0.94 
## The total number of observations was  406  with MLE Chi Square =  1526.24  with prob <  6.5e-70 
## 
## Tucker Lewis Index of factoring reliability =  0.916
## RMSEA index =  0.059  and the 90 % confidence intervals are  0.053 0.06
## BIC =  -2455.97
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.99 0.97 0.95
## Multiple R square of scores with factors       0.98 0.94 0.90
## Minimum correlation of possible factor scores  0.96 0.88 0.80

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d2_all, nfactors = nfactors_d2_all, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.64  0.38  0.04 0.72 0.28 1.6
## depressed       0.78  0.20 -0.07 0.71 0.29 1.1
## fear            0.17  0.77  0.09 0.75 0.25 1.1
## angry           0.47  0.47  0.05 0.61 0.39 2.0
## calm            0.35  0.45  0.23 0.55 0.45 2.4
## sounds         -0.19  0.03  0.75 0.52 0.48 1.1
## seeing         -0.18  0.36  0.68 0.56 0.44 1.7
## temperature    -0.20  0.25  0.64 0.43 0.57 1.5
## odors          -0.13  0.45  0.52 0.45 0.55 2.1
## depth          -0.02 -0.02  0.59 0.34 0.66 1.0
## computations    0.16 -0.83  0.43 0.79 0.21 1.6
## thoughts        0.46  0.39  0.21 0.58 0.42 2.4
## reasoning       0.37 -0.27  0.49 0.47 0.53 2.5
## remembering     0.07 -0.29  0.72 0.58 0.42 1.3
## beliefs         0.65 -0.08  0.09 0.44 0.56 1.1
## hungry         -0.07  0.95 -0.06 0.86 0.14 1.0
## tired           0.10  0.82  0.10 0.77 0.23 1.1
## pain            0.01  0.90  0.02 0.82 0.18 1.0
## nauseated       0.38  0.51  0.04 0.54 0.46 1.9
## safe            0.27  0.61  0.14 0.62 0.38 1.5
## love            0.74  0.20 -0.04 0.66 0.34 1.1
## recognizing     0.26 -0.42  0.61 0.59 0.41 2.2
## communicating  -0.01  0.01  0.73 0.54 0.46 1.0
## guilt           0.90 -0.06 -0.13 0.73 0.27 1.1
## disrespected    0.78  0.04 -0.08 0.60 0.40 1.0
## free_will       0.12  0.67  0.15 0.56 0.44 1.2
## choices         0.05  0.12  0.69 0.53 0.47 1.1
## self_restraint  0.49 -0.07  0.27 0.37 0.63 1.6
## intentions      0.17  0.48  0.35 0.50 0.50 2.1
## goal            0.01  0.08  0.69 0.49 0.51 1.0
## conscious       0.17  0.68  0.16 0.62 0.38 1.2
## self_aware      0.45  0.31  0.23 0.52 0.48 2.3
## desires         0.40  0.54  0.12 0.64 0.36 2.0
## embarrassed     0.86 -0.05 -0.14 0.67 0.33 1.1
## emo_recog       0.66 -0.14  0.25 0.55 0.45 1.4
## joy             0.60  0.39  0.08 0.69 0.31 1.8
## morality        0.57 -0.29  0.27 0.45 0.55 2.0
## personality     0.59  0.01  0.28 0.53 0.47 1.4
## pleasure        0.40  0.60  0.08 0.70 0.30 1.8
## pride           0.85  0.04 -0.09 0.71 0.29 1.0
## 
##                        MR1  MR2  MR3
## SS loadings           9.20 8.66 5.91
## Proportion Var        0.23 0.22 0.15
## Cumulative Var        0.23 0.45 0.59
## Proportion Explained  0.39 0.36 0.25
## Cumulative Proportion 0.39 0.75 1.00
## 
##  With factor correlations of 
##      MR1  MR2  MR3
## MR1 1.00 0.32 0.29
## MR2 0.32 1.00 0.09
## MR3 0.29 0.09 1.00
## 
## Mean item complexity =  1.5
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  33.07 with Chi Square of  12924.08
## The degrees of freedom for the model are 663  and the objective function was  3.93 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  406 with the empirical chi square  607.3  with prob <  0.94 
## The total number of observations was  406  with MLE Chi Square =  1526.24  with prob <  6.5e-70 
## 
## Tucker Lewis Index of factoring reliability =  0.916
## RMSEA index =  0.059  and the 90 % confidence intervals are  0.053 0.06
## BIC =  -2455.97
## Fit based upon off diagonal values = 0.99
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.98 0.98 0.96
## Multiple R square of scores with factors       0.96 0.97 0.92
## Minimum correlation of possible factor scores  0.92 0.93 0.85

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Factor 1
Study 2, ALL conditions: Rotated Factor 1
F1
guilt 0.9018117
embarrassed 0.8644501
pride 0.8512502
disrespected 0.7816774
depressed 0.7768355
love 0.7414486
emo_recog 0.6627206
beliefs 0.6530539
happy 0.6389639
joy 0.5955045
personality 0.5895859
morality 0.5678485
self_restraint 0.4896610
angry 0.4699806
thoughts 0.4556764
self_aware 0.4531171
desires 0.3967682
pleasure 0.3961616
nauseated 0.3817812
reasoning 0.3696592
calm 0.3545488
safe 0.2740405
recognizing 0.2635986
fear 0.1748140
intentions 0.1677811
conscious 0.1661887
computations 0.1605288
free_will 0.1214247
tired 0.0998412
remembering 0.0669193
choices 0.0506938
pain 0.0109853
goal 0.0097885
communicating -0.0058206
depth -0.0221118
hungry -0.0701970
odors -0.1325338
seeing -0.1758959
sounds -0.1907316
temperature -0.2031845
Factor 2
Study 2, ALL conditions: Rotated Factor 2
F2
hungry 0.9477598
pain 0.8997743
tired 0.8211861
fear 0.7720673
conscious 0.6809673
free_will 0.6666312
safe 0.6132382
pleasure 0.5988310
desires 0.5396944
nauseated 0.5082342
intentions 0.4794387
angry 0.4746162
calm 0.4519300
odors 0.4513555
thoughts 0.3896041
joy 0.3884269
happy 0.3754179
seeing 0.3633246
self_aware 0.3113616
temperature 0.2470464
love 0.1968049
depressed 0.1953708
choices 0.1215030
goal 0.0803831
pride 0.0435385
disrespected 0.0432014
sounds 0.0329935
communicating 0.0125797
personality 0.0087852
depth -0.0216847
embarrassed -0.0526589
guilt -0.0599803
self_restraint -0.0705879
beliefs -0.0789678
emo_recog -0.1375540
reasoning -0.2659083
remembering -0.2857466
morality -0.2909780
recognizing -0.4248210
computations -0.8272856
Factor 3
Study 2, ALL conditions: Rotated Factor 3
F3
sounds 0.7505277
communicating 0.7324933
remembering 0.7179818
choices 0.6876736
goal 0.6864950
seeing 0.6753770
temperature 0.6380509
recognizing 0.6097092
depth 0.5895839
odors 0.5173410
reasoning 0.4918902
computations 0.4347000
intentions 0.3500669
personality 0.2837250
self_restraint 0.2716401
morality 0.2705058
emo_recog 0.2495774
calm 0.2327532
self_aware 0.2258684
thoughts 0.2055088
conscious 0.1560888
free_will 0.1466452
safe 0.1388006
desires 0.1230747
tired 0.0989842
fear 0.0949720
beliefs 0.0927408
pleasure 0.0785267
joy 0.0781520
angry 0.0477393
happy 0.0449535
nauseated 0.0353175
pain 0.0157851
love -0.0444002
hungry -0.0622055
depressed -0.0654152
disrespected -0.0843699
pride -0.0904020
guilt -0.1296249
embarrassed -0.1366754

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Confirmatory factor analysis

CFA: All conditions

ModelDD: Data-driven, three factors (experience, MR2, MR3; see Study 1)

## lavaan (0.5-20) converged normally after  64 iterations
## 
##   Number of observations                           406
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             4025.067
##   Degrees of freedom                               737
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic            13425.609
##   Degrees of freedom                               780
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.740
##   Tucker-Lewis Index (TLI)                       0.725
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -27336.287
##   Loglikelihood unrestricted model (H1)     -25323.753
## 
##   Number of free parameters                         83
##   Akaike (AIC)                               54838.573
##   Bayesian (BIC)                             55171.101
##   Sample-size adjusted Bayesian (BIC)        54907.730
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.105
##   90 Percent Confidence Interval          0.102  0.108
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.142
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 =~                                              
##     embarrassed       1.000                           
##     pride             1.253    0.071   17.711    0.000
##     guilt             1.103    0.064   17.228    0.000
##     love              1.481    0.084   17.724    0.000
##     disrespected      1.126    0.069   16.236    0.000
##     depressed         1.444    0.078   18.559    0.000
##     beliefs           1.014    0.079   12.859    0.000
##     emo_recog         1.204    0.089   13.454    0.000
##     joy               1.668    0.095   17.558    0.000
##     personality       1.532    0.108   14.158    0.000
##     happy             1.861    0.102   18.249    0.000
##     morality          0.970    0.099    9.821    0.000
##     angry             1.601    0.105   15.254    0.000
##     self_restraint    1.186    0.110   10.733    0.000
##     thoughts          1.653    0.111   14.936    0.000
##     self_aware        1.704    0.119   14.291    0.000
##   MR2 =~                                              
##     hungry            1.000                           
##     pain              0.937    0.044   21.458    0.000
##     tired             0.852    0.039   22.018    0.000
##     fear              0.836    0.039   21.677    0.000
##     pleasure          0.673    0.034   20.013    0.000
##     conscious         0.745    0.039   18.917    0.000
##     free_will         0.687    0.040   17.314    0.000
##     safe              0.678    0.036   18.661    0.000
##     desires           0.617    0.034   18.373    0.000
##     calm              0.586    0.037   15.963    0.000
##     nauseated         0.491    0.030   16.386    0.000
##     odors             0.443    0.044   10.168    0.000
##     intentions        0.595    0.041   14.483    0.000
##   MR3 =~                                              
##     remembering       1.000                           
##     temperature       0.705    0.064   11.020    0.000
##     recognizing       0.919    0.073   12.589    0.000
##     seeing            0.839    0.070   12.050    0.000
##     communicating     0.929    0.065   14.242    0.000
##     sounds            0.810    0.061   13.211    0.000
##     depth             0.762    0.071   10.790    0.000
##     goal              0.958    0.073   13.148    0.000
##     choices           0.916    0.068   13.464    0.000
##     reasoning         0.679    0.063   10.742    0.000
##     computations      0.702    0.087    8.029    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 ~~                                              
##     MR2               1.123    0.118    9.549    0.000
##     MR3               0.350    0.067    5.228    0.000
##   MR2 ~~                                              
##     MR3               0.756    0.195    3.877    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     embarrassed       0.382    0.029   13.344    0.000
##     pride             0.419    0.032   12.954    0.000
##     guilt             0.370    0.028   13.113    0.000
##     love              0.584    0.045   12.949    0.000
##     disrespected      0.496    0.037   13.366    0.000
##     depressed         0.435    0.035   12.590    0.000
##     beliefs           0.878    0.063   13.844    0.000
##     emo_recog         1.082    0.078   13.786    0.000
##     joy               0.775    0.060   13.007    0.000
##     personality       1.494    0.109   13.706    0.000
##     happy             0.793    0.062   12.738    0.000
##     morality          1.636    0.116   14.050    0.000
##     angry             1.268    0.094   13.551    0.000
##     self_restraint    1.959    0.140   14.001    0.000
##     thoughts          1.455    0.107   13.600    0.000
##     self_aware        1.794    0.131   13.690    0.000
##     hungry            2.398    0.185   12.957    0.000
##     pain              1.550    0.124   12.494    0.000
##     tired             1.129    0.092   12.253    0.000
##     fear              1.176    0.095   12.405    0.000
##     pleasure          1.085    0.084   12.958    0.000
##     conscious         1.652    0.125   13.209    0.000
##     free_will         1.898    0.141   13.481    0.000
##     safe              1.439    0.109   13.259    0.000
##     desires           1.258    0.095   13.312    0.000
##     calm              1.773    0.130   13.651    0.000
##     nauseated         1.151    0.085   13.602    0.000
##     odors             3.197    0.227   14.059    0.000
##     intentions        2.409    0.175   13.794    0.000
##     remembering       2.257    0.182   12.420    0.000
##     temperature       2.386    0.178   13.391    0.000
##     recognizing       2.624    0.203   12.923    0.000
##     seeing            2.547    0.194   13.109    0.000
##     communicating     1.626    0.135   12.060    0.000
##     sounds            1.705    0.135   12.660    0.000
##     depth             2.966    0.221   13.443    0.000
##     goal              2.424    0.191   12.689    0.000
##     choices           2.020    0.161   12.535    0.000
##     reasoning         2.387    0.177   13.454    0.000
##     computations      5.500    0.396   13.881    0.000
##     MR1               0.528    0.059    8.978    0.000
##     MR2               4.981    0.496   10.047    0.000
##     MR3               2.412    0.300    8.030    0.000

ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)

## lavaan (0.5-20) converged normally after  47 iterations
## 
##   Number of observations                           406
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic              574.111
##   Degrees of freedom                               101
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             3556.652
##   Degrees of freedom                               120
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.862
##   Tucker-Lewis Index (TLI)                       0.836
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -11698.470
##   Loglikelihood unrestricted model (H1)     -11411.415
## 
##   Number of free parameters                         35
##   Akaike (AIC)                               23466.941
##   Bayesian (BIC)                             23607.163
##   Sample-size adjusted Bayesian (BIC)        23496.103
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.107
##   90 Percent Confidence Interval          0.099  0.116
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.091
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect =~                                           
##     happy             1.000                           
##     depressed         0.656    0.032   20.325    0.000
##     fear              1.056    0.059   17.752    0.000
##     angry             0.861    0.042   20.492    0.000
##     calm              0.956    0.050   19.168    0.000
##     joy               0.908    0.034   26.657    0.000
##   perception =~                                       
##     sounds            1.000                           
##     seeing            1.347    0.117   11.537    0.000
##     temperature       1.194    0.106   11.265    0.000
##     odors             1.296    0.115   11.310    0.000
##     depth             1.048    0.111    9.474    0.000
##   autonomy =~                                         
##     free_will         1.000                           
##     choices           1.023    0.097   10.532    0.000
##     self_restraint    0.601    0.075    8.054    0.000
##     intentions        1.146    0.101   11.308    0.000
##     goal              1.044    0.103   10.156    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect ~~                                           
##     perception        0.569    0.106    5.380    0.000
##     autonomy          1.312    0.154    8.527    0.000
##   perception ~~                                       
##     autonomy          1.147    0.148    7.737    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     happy             0.477    0.050    9.587    0.000
##     depressed         0.613    0.048   12.714    0.000
##     fear              2.270    0.172   13.183    0.000
##     angry             1.030    0.081   12.677    0.000
##     calm              1.523    0.118   12.944    0.000
##     joy               0.475    0.046   10.362    0.000
##     sounds            2.009    0.160   12.549    0.000
##     seeing            1.926    0.175   11.003    0.000
##     temperature       1.760    0.154   11.461    0.000
##     odors             2.024    0.178   11.392    0.000
##     depth             2.959    0.228   12.985    0.000
##     free_will         2.644    0.206   12.832    0.000
##     choices           2.367    0.188   12.576    0.000
##     self_restraint    2.123    0.156   13.629    0.000
##     intentions        2.069    0.176   11.776    0.000
##     goal              2.888    0.225   12.834    0.000
##     affect            2.145    0.185   11.617    0.000
##     perception        1.280    0.198    6.469    0.000
##     autonomy          1.602    0.250    6.414    0.000

ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)

## lavaan (0.5-20) converged normally after  46 iterations
## 
##   Number of observations                           406
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             1736.144
##   Degrees of freedom                               134
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             5043.034
##   Degrees of freedom                               153
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.672
##   Tucker-Lewis Index (TLI)                       0.626
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -12750.702
##   Loglikelihood unrestricted model (H1)     -11882.630
## 
##   Number of free parameters                         37
##   Akaike (AIC)                               25575.404
##   Bayesian (BIC)                             25723.639
##   Sample-size adjusted Bayesian (BIC)        25606.233
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.172
##   90 Percent Confidence Interval          0.164  0.179
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.155
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience =~                                       
##     hungry            1.000                           
##     fear              0.909    0.055   16.465    0.000
##     pain              0.972    0.062   15.579    0.000
##     pleasure          0.803    0.047   17.197    0.000
##     angry             0.650    0.041   15.672    0.000
##     desires           0.738    0.045   16.231    0.000
##     personality       0.441    0.043   10.305    0.000
##     conscious         0.799    0.054   14.808    0.000
##     pride             0.341    0.029   11.818    0.000
##     embarrassed       0.244    0.025    9.856    0.000
##     joy               0.614    0.038   15.994    0.000
##   agency =~                                           
##     self_restraint    1.000                           
##     morality          0.905    0.085   10.639    0.000
##     remembering       0.902    0.118    7.642    0.000
##     emo_recog         0.951    0.082   11.588    0.000
##     goal              1.062    0.120    8.842    0.000
##     communicating     0.902    0.107    8.460    0.000
##     thoughts          1.024    0.098   10.400    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience ~~                                       
##     agency            1.162    0.159    7.290    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     hungry            3.541    0.267   13.273    0.000
##     fear              1.485    0.121   12.318    0.000
##     pain              2.296    0.179   12.825    0.000
##     pleasure          0.864    0.074   11.659    0.000
##     angry             0.998    0.078   12.782    0.000
##     desires           1.065    0.085   12.475    0.000
##     personality       1.986    0.143   13.911    0.000
##     conscious         1.966    0.150   13.126    0.000
##     pride             0.802    0.058   13.748    0.000
##     embarrassed       0.682    0.049   13.948    0.000
##     joy               0.799    0.063   12.616    0.000
##     self_restraint    1.583    0.131   12.075    0.000
##     morality          1.217    0.102   11.932    0.000
##     remembering       3.759    0.278   13.512    0.000
##     emo_recog         0.836    0.079   10.516    0.000
##     goal              3.374    0.257   13.107    0.000
##     communicating     2.796    0.211   13.256    0.000
##     thoughts          1.725    0.142   12.159    0.000
##     experience        3.838    0.465    8.261    0.000
##     agency            1.119    0.169    6.633    0.000

Compare models (if possible)

# compare models (iff continuous and ML)
customVuong(d2_all_fitDD, d2_all_fitWDM, d2_all_fitGGW)
## $mod1_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 95.810,   p = 1.35e-08
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -79.288,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -79.288,   p = < 2.2e-16
## 
## $mod1_v_mod3
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 69.594,   p = 1.38e-08
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -86.771,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -86.771,   p = < 2.2e-16
## 
## $mod3_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 21.765,   p = 7.04e-09
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -11.194,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -11.194,   p = < 2.2e-16
## 
## $winner
## [1] "WDM"

back to TOC

Study 3 (2016-01-10, 2 conditions, within-subjects)

Demographics

## Warning in mutate_impl(.data, dots): NAs introduced by coercion
Study 3: Exclusion
did_not_finish failed_catch_trial did_not_provide_yob too_young TOTAL_excluded TOTAL_participated OVERALL_TOTAL
13 7 4 0 24 400 424
Study 3: Sample size
condition n
beetle 200
robot 200
all 200
Study 3: Study duration (minutes)
condition min_duration max_duration median_duration mean_duration sd_duration
within-subjects 1.33 36.43 5.46 6.44 3.92
Study 3: Participant age (years; approximate)
condition min_age max_age median_age mean_age sd_age
within-subjects 20 68 33 36.84 11.28
Study 3: Participant gender
condition m f other
all 202 198 0
Study 3: Participant race/ethnicity
condition asian_east asian_south black hispanic multiracial white
all 30 4 38 16 22 290
Study 3: Participant religion
condition buddhism christianity islam none other other_prefno
all 10 176 6 190 6 12

back to TOC

Exploratory factor analysis

EFA: ALL conditions

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d3_all, nfactors = nfactors_d3_all, rotate = "none", fm = "minres", 
##     cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.85  0.18 -0.12 0.77 0.23 1.1
## depressed       0.73  0.27 -0.28 0.69 0.31 1.6
## fear            0.84 -0.20  0.03 0.75 0.25 1.1
## angry           0.81  0.10 -0.14 0.69 0.31 1.1
## calm            0.81  0.06  0.05 0.66 0.34 1.0
## sounds          0.27  0.19  0.58 0.45 0.55 1.6
## seeing          0.38  0.03  0.54 0.43 0.57 1.8
## temperature     0.40  0.02  0.58 0.50 0.50 1.8
## odors           0.53 -0.10  0.42 0.47 0.53 2.0
## depth           0.34  0.24  0.46 0.38 0.62 2.4
## computations   -0.51  0.68  0.04 0.72 0.28 1.9
## thoughts        0.79  0.19  0.08 0.67 0.33 1.1
## reasoning       0.27  0.63  0.25 0.54 0.46 1.7
## remembering     0.14  0.55  0.41 0.49 0.51 2.0
## beliefs         0.49  0.40 -0.20 0.44 0.56 2.3
## hungry          0.76 -0.53  0.08 0.87 0.13 1.8
## tired           0.83 -0.29  0.02 0.78 0.22 1.2
## pain            0.79 -0.45  0.08 0.84 0.16 1.6
## nauseated       0.81 -0.06 -0.09 0.66 0.34 1.0
## safe            0.78 -0.13  0.07 0.63 0.37 1.1
## love            0.78  0.24 -0.17 0.70 0.30 1.3
## recognizing     0.11  0.68  0.34 0.59 0.41 1.5
## communicating   0.14  0.47  0.40 0.40 0.60 2.1
## guilt           0.62  0.38 -0.31 0.63 0.37 2.2
## disrespected    0.63  0.36 -0.30 0.61 0.39 2.1
## free_will       0.81 -0.09  0.06 0.66 0.34 1.0
## choices         0.47  0.27  0.43 0.47 0.53 2.6
## self_restraint  0.55  0.36 -0.04 0.43 0.57 1.8
## intentions      0.69  0.04  0.21 0.52 0.48 1.2
## goal            0.37  0.32  0.38 0.39 0.61 2.9
## conscious       0.82 -0.07  0.07 0.68 0.32 1.0
## self_aware      0.72  0.13  0.04 0.54 0.46 1.1
## desires         0.86 -0.09  0.05 0.75 0.25 1.0
## embarrassed     0.59  0.36 -0.34 0.60 0.40 2.3
## emo_recog       0.52  0.50 -0.02 0.51 0.49 2.0
## joy             0.84  0.19 -0.16 0.76 0.24 1.2
## morality        0.31  0.56  0.02 0.41 0.59 1.6
## personality     0.62  0.43  0.02 0.57 0.43 1.8
## pleasure        0.87 -0.07 -0.05 0.76 0.24 1.0
## pride           0.66  0.36 -0.30 0.66 0.34 2.0
## 
##                         MR1  MR2  MR3
## SS loadings           16.54 4.62 2.90
## Proportion Var         0.41 0.12 0.07
## Cumulative Var         0.41 0.53 0.60
## Proportion Explained   0.69 0.19 0.12
## Cumulative Proportion  0.69 0.88 1.00
## 
## Mean item complexity =  1.6
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  34.22 with Chi Square of  13170.85
## The degrees of freedom for the model are 663  and the objective function was  3.58 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  400 with the empirical chi square  526.02  with prob <  1 
## The total number of observations was  400  with MLE Chi Square =  1371.31  with prob <  1.4e-51 
## 
## Tucker Lewis Index of factoring reliability =  0.932
## RMSEA index =  0.054  and the 90 % confidence intervals are  0.048 0.056
## BIC =  -2601.03
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.99 0.97 0.93
## Multiple R square of scores with factors       0.98 0.93 0.86
## Minimum correlation of possible factor scores  0.96 0.86 0.72

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d3_all, nfactors = nfactors_d3_all, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR1   MR2   MR3   h2   u2 com
## happy           0.68  0.30  0.08 0.77 0.23 1.4
## depressed       0.80  0.13 -0.07 0.69 0.31 1.1
## fear            0.30  0.67  0.09 0.75 0.25 1.4
## angry           0.62  0.35  0.03 0.69 0.31 1.6
## calm            0.44  0.42  0.21 0.66 0.34 2.4
## sounds         -0.18  0.12  0.70 0.45 0.55 1.2
## seeing         -0.20  0.31  0.62 0.43 0.57 1.7
## temperature    -0.23  0.34  0.66 0.50 0.50 1.8
## odors          -0.10  0.49  0.47 0.47 0.53 2.1
## depth          -0.02  0.09  0.61 0.38 0.62 1.0
## computations    0.14 -0.89  0.21 0.72 0.28 1.2
## thoughts        0.50  0.30  0.27 0.67 0.33 2.3
## reasoning       0.37 -0.35  0.53 0.54 0.46 2.6
## remembering     0.11 -0.31  0.64 0.49 0.51 1.5
## beliefs         0.69 -0.11  0.02 0.44 0.56 1.1
## hungry          0.00  0.93  0.01 0.87 0.13 1.0
## tired           0.25  0.74  0.04 0.78 0.22 1.2
## pain            0.06  0.88  0.05 0.84 0.16 1.0
## nauseated       0.47  0.50  0.01 0.66 0.34 2.0
## safe            0.29  0.58  0.15 0.63 0.37 1.6
## love            0.72  0.20  0.04 0.70 0.30 1.2
## recognizing     0.24 -0.46  0.61 0.59 0.41 2.2
## communicating   0.07 -0.25  0.60 0.40 0.60 1.4
## guilt           0.83 -0.05 -0.07 0.63 0.37 1.0
## disrespected    0.82 -0.02 -0.07 0.61 0.39 1.0
## free_will       0.33  0.56  0.16 0.66 0.34 1.8
## choices         0.09  0.13  0.61 0.47 0.53 1.1
## self_restraint  0.57 -0.01  0.18 0.43 0.57 1.2
## intentions      0.24  0.41  0.34 0.52 0.48 2.6
## goal            0.11  0.01  0.57 0.39 0.61 1.1
## conscious       0.34  0.56  0.18 0.68 0.32 1.9
## self_aware      0.44  0.31  0.21 0.54 0.46 2.3
## desires         0.37  0.59  0.16 0.75 0.25 1.9
## embarrassed     0.83 -0.05 -0.12 0.60 0.40 1.1
## emo_recog       0.62 -0.14  0.25 0.51 0.49 1.4
## joy             0.70  0.28  0.04 0.76 0.24 1.3
## morality        0.52 -0.32  0.28 0.41 0.59 2.2
## personality     0.60 -0.02  0.28 0.57 0.43 1.4
## pleasure        0.47  0.55  0.07 0.76 0.24 2.0
## pride           0.84  0.00 -0.07 0.66 0.34 1.0
## 
##                         MR1  MR2  MR3
## SS loadings           10.49 8.21 5.35
## Proportion Var         0.26 0.21 0.13
## Cumulative Var         0.26 0.47 0.60
## Proportion Explained   0.44 0.34 0.22
## Cumulative Proportion  0.44 0.78 1.00
## 
##  With factor correlations of 
##      MR1  MR2  MR3
## MR1 1.00 0.38 0.40
## MR2 0.38 1.00 0.16
## MR3 0.40 0.16 1.00
## 
## Mean item complexity =  1.6
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  34.22 with Chi Square of  13170.85
## The degrees of freedom for the model are 663  and the objective function was  3.58 
## 
## The root mean square of the residuals (RMSR) is  0.03 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  400 with the empirical chi square  526.02  with prob <  1 
## The total number of observations was  400  with MLE Chi Square =  1371.31  with prob <  1.4e-51 
## 
## Tucker Lewis Index of factoring reliability =  0.932
## RMSEA index =  0.054  and the 90 % confidence intervals are  0.048 0.056
## BIC =  -2601.03
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             0.98 0.98 0.95
## Multiple R square of scores with factors       0.96 0.96 0.90
## Minimum correlation of possible factor scores  0.92 0.93 0.81

back to TOC

Factor 1
Study 3, ALL conditions: Rotated Factor 1
F1
pride 0.8355655
guilt 0.8343019
embarrassed 0.8294130
disrespected 0.8162977
depressed 0.7982484
love 0.7198466
joy 0.7022254
beliefs 0.6923427
happy 0.6817983
emo_recog 0.6246103
angry 0.6218072
personality 0.6045677
self_restraint 0.5661369
morality 0.5242637
thoughts 0.4997066
nauseated 0.4719554
pleasure 0.4663574
self_aware 0.4418902
calm 0.4395396
reasoning 0.3741904
desires 0.3698248
conscious 0.3424203
free_will 0.3343673
fear 0.3028950
safe 0.2853295
tired 0.2468717
intentions 0.2389793
recognizing 0.2380664
computations 0.1414391
goal 0.1149527
remembering 0.1149484
choices 0.0940551
communicating 0.0744099
pain 0.0643083
hungry 0.0028932
depth -0.0168866
odors -0.1049849
sounds -0.1848926
seeing -0.2004686
temperature -0.2296458
Factor 2
Study 3, ALL conditions: Rotated Factor 2
F2
hungry 0.9310065
pain 0.8783099
tired 0.7447308
fear 0.6737192
desires 0.5867782
safe 0.5828178
free_will 0.5581014
conscious 0.5551105
pleasure 0.5511893
nauseated 0.5017473
odors 0.4868042
calm 0.4248659
intentions 0.4054190
angry 0.3486169
temperature 0.3405954
self_aware 0.3149236
seeing 0.3090220
happy 0.3005960
thoughts 0.3005739
joy 0.2845572
love 0.2012057
choices 0.1280229
depressed 0.1263512
sounds 0.1155786
depth 0.0854566
goal 0.0130670
pride 0.0018078
self_restraint -0.0143414
personality -0.0224117
disrespected -0.0230586
guilt -0.0458504
embarrassed -0.0481279
beliefs -0.1117514
emo_recog -0.1441830
communicating -0.2518920
remembering -0.3145192
morality -0.3176953
reasoning -0.3525384
recognizing -0.4644066
computations -0.8882576
Factor 3
Study 3, ALL conditions: Rotated Factor 3
F3
sounds 0.7036938
temperature 0.6615971
remembering 0.6388390
seeing 0.6199357
recognizing 0.6120320
depth 0.6083815
choices 0.6074725
communicating 0.5954826
goal 0.5669244
reasoning 0.5268238
odors 0.4716850
intentions 0.3400562
personality 0.2810219
morality 0.2767068
thoughts 0.2744226
emo_recog 0.2475554
self_aware 0.2066225
computations 0.2058084
calm 0.2054790
self_restraint 0.1837816
conscious 0.1796148
free_will 0.1613377
desires 0.1601078
safe 0.1492822
fear 0.0891959
happy 0.0769024
pleasure 0.0686854
pain 0.0462202
tired 0.0435106
joy 0.0427298
love 0.0412117
angry 0.0291800
beliefs 0.0225511
nauseated 0.0139352
hungry 0.0056931
pride -0.0672287
disrespected -0.0675821
depressed -0.0720569
guilt -0.0744155
embarrassed -0.1246714

back to TOC

Confirmatory factor analysis

CFA: All conditions

ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)

## lavaan (0.5-20) converged normally after  64 iterations
## 
##   Number of observations                           400
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             3511.005
##   Degrees of freedom                               737
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic            13689.925
##   Degrees of freedom                               780
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.785
##   Tucker-Lewis Index (TLI)                       0.773
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -28534.264
##   Loglikelihood unrestricted model (H1)     -26778.761
## 
##   Number of free parameters                         83
##   Akaike (AIC)                               57234.528
##   Bayesian (BIC)                             57565.820
##   Sample-size adjusted Bayesian (BIC)        57302.455
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.097
##   90 Percent Confidence Interval          0.094  0.100
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.131
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 =~                                              
##     embarrassed       1.000                           
##     pride             1.328    0.084   15.794    0.000
##     guilt             1.038    0.068   15.217    0.000
##     love              1.566    0.092   16.953    0.000
##     disrespected      1.074    0.071   15.123    0.000
##     depressed         1.281    0.077   16.543    0.000
##     beliefs           0.952    0.077   12.388    0.000
##     emo_recog         1.183    0.092   12.817    0.000
##     joy               1.743    0.099   17.684    0.000
##     personality       1.493    0.105   14.218    0.000
##     happy             1.786    0.100   17.925    0.000
##     morality          0.869    0.096    9.071    0.000
##     angry             1.727    0.104   16.531    0.000
##     self_restraint    1.280    0.103   12.402    0.000
##     thoughts          1.769    0.112   15.762    0.000
##     self_aware        1.581    0.113   13.978    0.000
##   MR2 =~                                              
##     hungry            1.000                           
##     pain              0.949    0.046   20.781    0.000
##     tired             0.941    0.043   21.950    0.000
##     fear              0.918    0.042   22.011    0.000
##     pleasure          0.817    0.038   21.760    0.000
##     conscious         0.881    0.043   20.350    0.000
##     free_will         0.837    0.042   19.809    0.000
##     safe              0.794    0.041   19.185    0.000
##     desires           0.836    0.038   22.227    0.000
##     calm              0.752    0.040   18.950    0.000
##     nauseated         0.693    0.036   19.292    0.000
##     odors             0.526    0.046   11.414    0.000
##     intentions        0.687    0.044   15.639    0.000
##   MR3 =~                                              
##     remembering       1.000                           
##     temperature       0.815    0.080   10.130    0.000
##     recognizing       1.024    0.087   11.734    0.000
##     seeing            0.729    0.077    9.530    0.000
##     communicating     0.890    0.081   10.936    0.000
##     sounds            0.742    0.068   10.898    0.000
##     depth             0.896    0.083   10.818    0.000
##     goal              0.985    0.088   11.149    0.000
##     choices           0.936    0.084   11.137    0.000
##     reasoning         0.974    0.085   11.481    0.000
##     computations      0.353    0.105    3.371    0.001
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 ~~                                              
##     MR2               1.716    0.171   10.013    0.000
##     MR3               0.608    0.089    6.815    0.000
##   MR2 ~~                                              
##     MR3               1.040    0.193    5.380    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     embarrassed       0.776    0.057   13.529    0.000
##     pride             0.977    0.074   13.283    0.000
##     guilt             0.709    0.053   13.418    0.000
##     love              0.925    0.072   12.879    0.000
##     disrespected      0.779    0.058   13.437    0.000
##     depressed         0.715    0.055   13.048    0.000
##     beliefs           1.260    0.091   13.800    0.000
##     emo_recog         1.745    0.127   13.761    0.000
##     joy               0.860    0.069   12.458    0.000
##     personality       1.932    0.142   13.593    0.000
##     happy             0.812    0.066   12.269    0.000
##     morality          2.470    0.176   13.997    0.000
##     angry             1.304    0.100   13.053    0.000
##     self_restraint    2.267    0.164   13.799    0.000
##     thoughts          1.750    0.132   13.291    0.000
##     self_aware        2.308    0.169   13.627    0.000
##     hungry            2.458    0.187   13.128    0.000
##     pain              1.937    0.149   12.983    0.000
##     tired             1.478    0.117   12.647    0.000
##     fear              1.387    0.110   12.626    0.000
##     pleasure          1.162    0.091   12.709    0.000
##     conscious         1.821    0.139   13.081    0.000
##     free_will         1.831    0.139   13.190    0.000
##     safe              1.863    0.140   13.299    0.000
##     desires           1.093    0.087   12.548    0.000
##     calm              1.747    0.131   13.336    0.000
##     nauseated         1.389    0.105   13.281    0.000
##     odors             3.569    0.256   13.949    0.000
##     intentions        2.689    0.196   13.706    0.000
##     remembering       2.317    0.187   12.361    0.000
##     temperature       2.719    0.207   13.136    0.000
##     recognizing       2.515    0.202   12.423    0.000
##     seeing            2.635    0.198   13.312    0.000
##     communicating     2.496    0.194   12.834    0.000
##     sounds            1.758    0.137   12.851    0.000
##     depth             2.629    0.204   12.885    0.000
##     goal              2.850    0.224   12.738    0.000
##     choices           2.585    0.203   12.744    0.000
##     reasoning         2.489    0.198   12.569    0.000
##     computations      7.133    0.507   14.070    0.000
##     MR1               0.865    0.104    8.350    0.000
##     MR2               5.173    0.516   10.034    0.000
##     MR3               1.945    0.269    7.235    0.000

ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)

## lavaan (0.5-20) converged normally after  50 iterations
## 
##   Number of observations                           400
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic              391.505
##   Degrees of freedom                               101
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             3807.455
##   Degrees of freedom                               120
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.921
##   Tucker-Lewis Index (TLI)                       0.906
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -11842.660
##   Loglikelihood unrestricted model (H1)     -11646.907
## 
##   Number of free parameters                         35
##   Akaike (AIC)                               23755.320
##   Bayesian (BIC)                             23895.021
##   Sample-size adjusted Bayesian (BIC)        23783.964
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.085
##   90 Percent Confidence Interval          0.076  0.094
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.069
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect =~                                           
##     happy             1.000                           
##     depressed         0.652    0.033   19.860    0.000
##     fear              1.101    0.053   20.924    0.000
##     angry             0.970    0.040   24.032    0.000
##     calm              1.017    0.046   21.902    0.000
##     joy               0.972    0.036   27.273    0.000
##   perception =~                                       
##     sounds            1.000                           
##     seeing            1.109    0.096   11.575    0.000
##     temperature       1.295    0.102   12.650    0.000
##     odors             1.333    0.112   11.865    0.000
##     depth             1.083    0.101   10.701    0.000
##   autonomy =~                                         
##     free_will         1.000                           
##     choices           0.666    0.055   12.057    0.000
##     self_restraint    0.616    0.051   12.027    0.000
##     intentions        0.913    0.058   15.710    0.000
##     goal              0.574    0.059    9.665    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect ~~                                           
##     perception        0.906    0.133    6.832    0.000
##     autonomy          2.727    0.250   10.891    0.000
##   perception ~~                                       
##     autonomy          1.395    0.173    8.058    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     happy             0.647    0.063   10.310    0.000
##     depressed         0.891    0.069   12.976    0.000
##     fear              2.203    0.172   12.795    0.000
##     angry             1.131    0.094   12.094    0.000
##     calm              1.649    0.131   12.606    0.000
##     joy               0.723    0.066   10.899    0.000
##     sounds            1.477    0.128   11.542    0.000
##     seeing            2.007    0.170   11.795    0.000
##     temperature       1.742    0.167   10.433    0.000
##     odors             2.598    0.226   11.515    0.000
##     depth             2.604    0.210   12.426    0.000
##     free_will         1.974    0.185   10.656    0.000
##     choices           2.747    0.210   13.089    0.000
##     self_restraint    2.365    0.181   13.097    0.000
##     intentions        2.228    0.192   11.621    0.000
##     goal              3.593    0.265   13.550    0.000
##     affect            2.926    0.252   11.603    0.000
##     perception        1.352    0.186    7.272    0.000
##     autonomy          3.479    0.379    9.167    0.000

ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)

## lavaan (0.5-20) converged normally after  46 iterations
## 
##   Number of observations                           400
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             1456.993
##   Degrees of freedom                               134
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             5368.619
##   Degrees of freedom                               153
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.746
##   Tucker-Lewis Index (TLI)                       0.710
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -13320.986
##   Loglikelihood unrestricted model (H1)     -12592.489
## 
##   Number of free parameters                         37
##   Akaike (AIC)                               26715.972
##   Bayesian (BIC)                             26863.656
##   Sample-size adjusted Bayesian (BIC)        26746.253
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.157
##   90 Percent Confidence Interval          0.150  0.164
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.131
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience =~                                       
##     hungry            1.000                           
##     fear              0.990    0.056   17.669    0.000
##     pain              0.969    0.061   15.954    0.000
##     pleasure          0.927    0.050   18.567    0.000
##     angry             0.793    0.046   17.154    0.000
##     desires           0.931    0.050   18.465    0.000
##     personality       0.565    0.048   11.890    0.000
##     conscious         0.974    0.057   17.198    0.000
##     pride             0.490    0.038   12.870    0.000
##     embarrassed       0.360    0.031   11.591    0.000
##     joy               0.760    0.044   17.375    0.000
##   agency =~                                           
##     self_restraint    1.000                           
##     morality          0.750    0.078    9.623    0.000
##     remembering       0.620    0.089    6.980    0.000
##     emo_recog         0.929    0.078   11.858    0.000
##     goal              0.855    0.095    8.970    0.000
##     communicating     0.581    0.086    6.727    0.000
##     thoughts          1.266    0.099   12.835    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience ~~                                       
##     agency            1.984    0.229    8.655    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     hungry            3.432    0.258   13.328    0.000
##     fear              1.631    0.131   12.455    0.000
##     pain              2.657    0.202   13.154    0.000
##     pleasure          1.009    0.086   11.750    0.000
##     angry             1.244    0.098   12.725    0.000
##     desires           1.064    0.090   11.852    0.000
##     personality       2.519    0.183   13.788    0.000
##     conscious         1.850    0.146   12.705    0.000
##     pride             1.494    0.109   13.693    0.000
##     embarrassed       1.098    0.079   13.813    0.000
##     joy               1.062    0.084   12.618    0.000
##     self_restraint    2.011    0.168   11.985    0.000
##     morality          2.182    0.167   13.033    0.000
##     remembering       3.618    0.264   13.688    0.000
##     emo_recog         1.512    0.130   11.658    0.000
##     goal              3.514    0.265   13.249    0.000
##     communicating     3.472    0.253   13.727    0.000
##     thoughts          1.778    0.174   10.210    0.000
##     experience        4.199    0.490    8.576    0.000
##     agency            1.673    0.236    7.096    0.000

Compare models (if possible)

# compare models (iff continuous and ML)
customVuong(d3_all_fitDD, d3_all_fitWDM, d3_all_fitGGW)
## $mod1_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 96.893,   p = 9.06e-09
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -84.785,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -84.785,   p = < 2.2e-16
## 
## $mod1_v_mod3
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 62.081,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -96.541,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -96.541,   p = < 2.2e-16
## 
## $mod3_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 27.619,   p = 3.18e-08
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -14.065,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -14.065,   p = < 2.2e-16
## 
## $winner
## [1] "WDM"

back to TOC

Study 4 (2016-01-14, 21 conditions, between-subjects)

Demographics

Study 4: Exclusion
did_not_finish failed_catch_trial did_not_provide_yob too_young TOTAL_excluded TOTAL_participated OVERALL_TOTAL
15 24 1 0 40 431 471
Study 4: Sample size
condition n
adult 21
bear 20
beetle 19
bluejay 20
car 23
child 20
chimpanzee 21
computer 22
dog 24
dolphin 22
elephant 21
fetus 20
fish 20
frog 21
goat 20
infant 19
microbe 20
mouse 18
pvs 21
robot 22
stapler 17
all 431
Study 4: Study duration (minutes)
condition min_duration max_duration median_duration mean_duration sd_duration
adult 1.20 41.08 2.57 6.99 11.38
bear 1.65 8.07 3.53 3.84 1.78
beetle 1.40 4.70 2.78 2.82 0.92
bluejay 1.68 12.95 3.50 4.21 2.78
car 0.62 28.50 2.22 3.47 5.57
child 1.57 7.02 3.15 3.56 1.45
chimpanzee 2.08 5.88 3.48 3.61 1.31
computer 1.30 21.77 2.75 4.33 4.39
dog 1.80 7.97 2.79 3.11 1.59
dolphin 0.70 11.18 2.96 3.93 2.42
elephant 1.27 5.08 2.47 2.87 1.04
fetus 1.42 12.33 2.72 3.40 2.35
fish 1.35 7.97 3.37 3.40 1.65
frog 1.80 32.23 3.52 6.31 6.80
goat 1.63 9.17 3.38 4.20 2.57
infant 1.78 45.18 4.05 6.06 9.65
microbe 1.02 42.28 2.73 4.69 8.92
mouse 1.50 7.92 3.40 3.78 1.76
pvs 1.13 7.58 2.22 2.72 1.54
robot 1.72 22.15 3.38 4.43 4.24
stapler 1.17 13.17 1.67 2.92 2.86
all 0.62 45.18 2.88 4.03 4.76
## Joining by: c("condition", "min_age", "max_age", "median_age", "mean_age", "sd_age")
## Warning: joining character vector and factor, coercing into character
## vector
Study 4: Participant age (years; approximate)
condition min_age max_age median_age mean_age sd_age
adult 22 55 30.0 30.86 7.83
bear 20 64 35.5 35.75 11.74
beetle 21 45 30.0 30.37 5.22
bluejay 24 60 35.0 38.20 11.00
car 21 55 34.0 33.96 9.47
child 22 68 33.5 36.25 12.13
chimpanzee 22 57 35.0 36.48 10.88
computer 23 59 34.0 35.14 11.15
dog 19 61 30.5 33.42 11.10
dolphin 24 65 33.5 37.82 11.74
elephant 22 66 34.0 40.24 13.51
fetus 21 70 31.0 34.30 10.85
fish 21 66 33.5 36.65 12.77
frog 24 60 34.0 36.86 9.66
goat 18 64 30.0 34.90 12.93
infant 22 54 32.0 34.42 9.11
microbe 20 58 32.5 37.75 12.37
mouse 21 59 40.5 39.89 11.93
pvs 24 65 34.0 35.24 9.59
robot 23 59 40.5 41.91 11.27
stapler 22 70 34.0 36.41 12.08
all 18 70 34.0 36.03 11.11
Study 4: Participant gender
condition m f other
adult 16 5 0
bear 9 11 0
beetle 11 8 0
bluejay 5 15 0
car 12 11 0
child 10 9 1
chimpanzee 13 8 0
computer 11 11 0
dog 14 10 0
dolphin 12 10 0
elephant 7 14 0
fetus 13 7 0
fish 9 11 0
frog 12 9 0
goat 9 11 0
infant 12 6 1
microbe 11 9 0
mouse 8 9 1
pvs 11 10 0
robot 8 14 0
stapler 10 7 0
all 223 205 3
Study 4: Participant race/ethnicity
condition asian_east asian_other asian_south black hispanic middle_eastern multiracial native_american other_prefno white
adult 1 1 0 4 0 1 0 0 0 14
bear 1 1 0 1 0 0 0 1 0 16
beetle 0 0 0 1 2 0 0 0 0 16
bluejay 0 0 1 3 0 0 1 0 0 15
car 2 0 1 0 2 0 1 0 0 17
child 2 0 0 0 0 0 0 0 1 17
chimpanzee 1 0 0 1 1 0 0 0 0 18
computer 0 0 0 2 0 0 2 0 0 18
dog 2 0 0 2 1 0 0 0 0 19
dolphin 2 1 0 0 1 0 2 0 0 16
elephant 0 1 0 0 1 0 2 0 0 17
fetus 1 0 0 0 4 0 2 0 0 13
fish 2 0 0 3 1 0 0 0 0 14
frog 2 0 0 1 3 0 0 0 0 15
goat 1 0 0 3 1 0 1 0 0 14
infant 1 0 0 2 0 0 1 0 1 14
microbe 2 0 0 1 0 0 3 0 1 13
mouse 2 0 0 0 0 0 0 0 0 16
pvs 2 0 0 1 1 0 0 0 0 17
robot 1 0 0 1 2 0 0 0 0 18
stapler 1 0 2 0 0 0 1 0 0 13
all 26 4 4 26 20 1 16 1 3 330
Study 4: Participant education
condition some_HS HS_diploma some_college associates bachelors some_grad grad pref_no
adult 0 1 5 0 7 3 5 0
bear 1 1 7 7 3 1 0 0
beetle 0 3 3 4 6 1 2 0
bluejay 0 2 3 2 9 2 2 0
car 1 0 7 4 7 1 3 0
child 0 1 6 1 7 1 3 1
chimpanzee 0 1 12 0 5 0 2 1
computer 0 2 6 2 9 1 2 0
dog 0 3 5 1 10 1 4 0
dolphin 0 4 4 3 6 3 2 0
elephant 0 2 5 3 7 0 4 0
fetus 0 2 9 4 4 1 0 0
fish 0 3 5 1 6 3 2 0
frog 0 2 7 1 7 1 3 0
goat 1 3 5 5 5 0 1 0
infant 0 2 2 2 8 0 3 2
microbe 0 4 3 2 9 1 1 0
mouse 0 1 5 2 7 0 3 0
pvs 0 1 4 3 9 2 1 1
robot 0 3 3 2 10 1 3 0
stapler 0 0 5 2 5 0 5 0
all 3 41 111 51 146 23 51 5

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Exploratory factor analysis

EFA: ALL conditions

Step 1: Determine how many factors to extract

Step 2: Run EFA without rotation

## Factor Analysis using method =  minres
## Call: fa(r = d4_all, nfactors = nfactors_d4_all, rotate = "none", fm = "minres", 
##     cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                 MR1   MR2   MR3   h2   u2 com
## happy          0.89  0.00 -0.21 0.84 0.16 1.1
## depressed      0.80  0.23 -0.12 0.71 0.29 1.2
## fear           0.87 -0.31 -0.07 0.86 0.14 1.3
## angry          0.87  0.00 -0.10 0.76 0.24 1.0
## calm           0.87 -0.14 -0.11 0.79 0.21 1.1
## sounds         0.71 -0.25  0.45 0.77 0.23 2.0
## seeing         0.78 -0.26  0.33 0.79 0.21 1.6
## temperature    0.65 -0.25  0.44 0.68 0.32 2.1
## odors          0.80 -0.19  0.22 0.73 0.27 1.3
## depth          0.68  0.04  0.42 0.65 0.35 1.7
## computations   0.15  0.60  0.45 0.58 0.42 2.0
## thoughts       0.84  0.06 -0.05 0.72 0.28 1.0
## reasoning      0.68  0.41  0.25 0.70 0.30 1.9
## remembering    0.72  0.13  0.44 0.73 0.27 1.7
## beliefs        0.63  0.58 -0.09 0.73 0.27 2.0
## hungry         0.82 -0.40 -0.09 0.83 0.17 1.5
## tired          0.89 -0.32 -0.10 0.90 0.10 1.3
## pain           0.85 -0.38 -0.11 0.88 0.12 1.4
## nauseated      0.83 -0.06 -0.14 0.72 0.28 1.1
## safe           0.87 -0.16 -0.06 0.78 0.22 1.1
## love           0.85  0.12 -0.22 0.78 0.22 1.2
## recognizing    0.78  0.03  0.27 0.68 0.32 1.2
## communicating  0.73 -0.01  0.42 0.71 0.29 1.6
## guilt          0.71  0.51 -0.15 0.79 0.21 1.9
## disrespected   0.70  0.47 -0.09 0.73 0.27 1.8
## free_will      0.82 -0.01  0.01 0.67 0.33 1.0
## choices        0.77  0.04  0.37 0.72 0.28 1.4
## self_restraint 0.71  0.42  0.11 0.69 0.31 1.7
## intentions     0.80  0.09  0.10 0.65 0.35 1.1
## goal           0.64  0.15  0.34 0.55 0.45 1.7
## conscious      0.82 -0.09 -0.01 0.69 0.31 1.0
## self_aware     0.75  0.25  0.05 0.62 0.38 1.2
## desires        0.88 -0.03 -0.07 0.78 0.22 1.0
## embarrassed    0.68  0.53 -0.17 0.76 0.24 2.0
## emo_recog      0.74  0.40  0.01 0.71 0.29 1.5
## joy            0.90  0.04 -0.18 0.84 0.16 1.1
## morality       0.66  0.55  0.02 0.74 0.26 1.9
## personality    0.89  0.07 -0.08 0.80 0.20 1.0
## pleasure       0.92 -0.16 -0.10 0.87 0.13 1.1
## pride          0.79  0.37 -0.13 0.77 0.23 1.5
## 
##                         MR1  MR2  MR3
## SS loadings           24.24 3.41 2.04
## Proportion Var         0.61 0.09 0.05
## Cumulative Var         0.61 0.69 0.74
## Proportion Explained   0.82 0.11 0.07
## Cumulative Proportion  0.82 0.93 1.00
## 
## Mean item complexity =  1.4
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  52.07 with Chi Square of  21651.8
## The degrees of freedom for the model are 663  and the objective function was  5.43 
## 
## The root mean square of the residuals (RMSR) is  0.02 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  431 with the empirical chi square  412.62  with prob <  1 
## The total number of observations was  431  with MLE Chi Square =  2246.7  with prob <  5.9e-171 
## 
## Tucker Lewis Index of factoring reliability =  0.91
## RMSEA index =  0.077  and the 90 % confidence intervals are  0.071 0.078
## BIC =  -1775.13
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR1  MR2  MR3
## Correlation of scores with factors             1.00 0.97 0.94
## Multiple R square of scores with factors       0.99 0.94 0.88
## Minimum correlation of possible factor scores  0.98 0.87 0.76

Step 3: Run EFA with oblimin rotation

## Factor Analysis using method =  minres
## Call: fa(r = d4_all, nfactors = nfactors_d4_all, rotate = "oblimin", 
##     fm = "minres", cor = "cor")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                  MR2   MR1   MR3   h2   u2 com
## happy           0.45  0.62  0.03 0.84 0.16 1.8
## depressed       0.61  0.33  0.05 0.71 0.29 1.6
## fear            0.05  0.74  0.25 0.86 0.14 1.2
## angry           0.39  0.52  0.15 0.76 0.24 2.0
## calm            0.25  0.64  0.18 0.79 0.21 1.5
## sounds         -0.19  0.22  0.84 0.77 0.23 1.2
## seeing         -0.12  0.36  0.71 0.79 0.21 1.5
## temperature    -0.21  0.19  0.81 0.68 0.32 1.2
## odors           0.02  0.39  0.57 0.73 0.27 1.8
## depth           0.11  0.00  0.74 0.65 0.35 1.0
## computations    0.48 -0.72  0.48 0.58 0.42 2.6
## thoughts        0.42  0.42  0.19 0.72 0.28 2.4
## reasoning       0.59 -0.15  0.43 0.70 0.30 2.0
## remembering     0.22 -0.07  0.75 0.73 0.27 1.2
## beliefs         0.90 -0.05 -0.04 0.73 0.27 1.0
## hungry         -0.05  0.79  0.23 0.83 0.17 1.2
## tired           0.07  0.77  0.23 0.90 0.10 1.2
## pain           -0.01  0.81  0.21 0.88 0.12 1.1
## nauseated       0.33  0.58  0.10 0.72 0.28 1.7
## safe            0.21  0.61  0.23 0.78 0.22 1.5
## love            0.56  0.51 -0.03 0.78 0.22 2.0
## recognizing     0.22  0.17  0.57 0.68 0.32 1.5
## communicating   0.08  0.06  0.76 0.71 0.29 1.0
## guilt           0.89  0.08 -0.07 0.79 0.21 1.0
## disrespected    0.82  0.07  0.01 0.73 0.27 1.0
## free_will       0.31  0.41  0.28 0.67 0.33 2.7
## choices         0.17  0.09  0.69 0.72 0.28 1.2
## self_restraint  0.67 -0.04  0.28 0.69 0.31 1.3
## intentions      0.37  0.26  0.36 0.65 0.35 2.8
## goal            0.26 -0.05  0.59 0.55 0.45 1.4
## conscious       0.24  0.50  0.27 0.69 0.31 2.0
## self_aware      0.54  0.15  0.24 0.62 0.38 1.6
## desires         0.35  0.53  0.20 0.78 0.22 2.1
## embarrassed     0.90  0.07 -0.12 0.76 0.24 1.0
## emo_recog       0.71  0.07  0.16 0.71 0.29 1.1
## joy             0.48  0.57  0.06 0.84 0.16 2.0
## morality        0.83 -0.10  0.11 0.74 0.26 1.1
## personality     0.47  0.46  0.17 0.80 0.20 2.3
## pleasure        0.25  0.66  0.20 0.87 0.13 1.5
## pride           0.76  0.22  0.01 0.77 0.23 1.2
## 
##                         MR2  MR1  MR3
## SS loadings           11.04 9.91 8.74
## Proportion Var         0.28 0.25 0.22
## Cumulative Var         0.28 0.52 0.74
## Proportion Explained   0.37 0.33 0.29
## Cumulative Proportion  0.37 0.71 1.00
## 
##  With factor correlations of 
##      MR2  MR1  MR3
## MR2 1.00 0.41 0.55
## MR1 0.41 1.00 0.53
## MR3 0.55 0.53 1.00
## 
## Mean item complexity =  1.6
## Test of the hypothesis that 3 factors are sufficient.
## 
## The degrees of freedom for the null model are  780  and the objective function was  52.07 with Chi Square of  21651.8
## The degrees of freedom for the model are 663  and the objective function was  5.43 
## 
## The root mean square of the residuals (RMSR) is  0.02 
## The df corrected root mean square of the residuals is  0.03 
## 
## The harmonic number of observations is  431 with the empirical chi square  412.62  with prob <  1 
## The total number of observations was  431  with MLE Chi Square =  2246.7  with prob <  5.9e-171 
## 
## Tucker Lewis Index of factoring reliability =  0.91
## RMSEA index =  0.077  and the 90 % confidence intervals are  0.071 0.078
## BIC =  -1775.13
## Fit based upon off diagonal values = 1
## Measures of factor score adequacy             
##                                                 MR2  MR1  MR3
## Correlation of scores with factors             0.98 0.99 0.98
## Multiple R square of scores with factors       0.97 0.97 0.95
## Minimum correlation of possible factor scores  0.94 0.94 0.91

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Factor 1
Study 4, ALL conditions: Rotated Factor 1
F1
embarrassed 0.9018816
beliefs 0.8968680
guilt 0.8901290
morality 0.8342636
disrespected 0.8198717
pride 0.7632293
emo_recog 0.7145727
self_restraint 0.6669838
depressed 0.6121355
reasoning 0.5933422
love 0.5649503
self_aware 0.5413943
computations 0.4784656
joy 0.4769566
personality 0.4679081
happy 0.4495767
thoughts 0.4249871
angry 0.3924566
intentions 0.3659627
desires 0.3514439
nauseated 0.3307287
free_will 0.3128684
goal 0.2580309
calm 0.2485633
pleasure 0.2461668
conscious 0.2420620
recognizing 0.2227127
remembering 0.2172967
safe 0.2117204
choices 0.1735503
depth 0.1122530
communicating 0.0848394
tired 0.0654121
fear 0.0517524
odors 0.0156964
pain -0.0058140
hungry -0.0451910
seeing -0.1164145
sounds -0.1932636
temperature -0.2062295
Factor 2
Study 4, ALL conditions: Rotated Factor 2
F2
pain 0.8113911
hungry 0.7932834
tired 0.7738048
fear 0.7411343
pleasure 0.6615801
calm 0.6355742
happy 0.6169317
safe 0.6101309
nauseated 0.5822653
joy 0.5668870
desires 0.5272103
angry 0.5216222
love 0.5092261
conscious 0.4967620
personality 0.4557715
thoughts 0.4219388
free_will 0.4130935
odors 0.3894383
seeing 0.3558002
depressed 0.3294201
intentions 0.2595619
sounds 0.2187783
pride 0.2170787
temperature 0.1885972
recognizing 0.1714859
self_aware 0.1496946
choices 0.0868195
guilt 0.0836874
embarrassed 0.0746788
disrespected 0.0655174
emo_recog 0.0651278
communicating 0.0580091
depth -0.0010363
self_restraint -0.0422123
goal -0.0486536
beliefs -0.0511137
remembering -0.0672345
morality -0.1044385
reasoning -0.1545878
computations -0.7202885
Factor 3
Study 4, ALL conditions: Rotated Factor 3
F3
sounds 0.8369067
temperature 0.8106029
communicating 0.7600327
remembering 0.7534883
depth 0.7368329
seeing 0.7106448
choices 0.6902574
goal 0.5918000
recognizing 0.5711083
odors 0.5695787
computations 0.4784963
reasoning 0.4331923
intentions 0.3611253
self_restraint 0.2784143
free_will 0.2781228
conscious 0.2670766
fear 0.2544704
self_aware 0.2415665
hungry 0.2290513
safe 0.2286487
tired 0.2265862
pain 0.2082285
pleasure 0.2039622
desires 0.1951531
thoughts 0.1913144
calm 0.1756957
personality 0.1693344
emo_recog 0.1572589
angry 0.1501175
morality 0.1108815
nauseated 0.1028601
joy 0.0555248
depressed 0.0520425
happy 0.0255363
pride 0.0076356
disrespected 0.0057781
love -0.0306122
beliefs -0.0419920
guilt -0.0698411
embarrassed -0.1159230

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Confirmatory factor analysis

CFA: ALL conditions

ModelDD: Data-driven, three factors (MR1, MR2, MR3; see Study 1)

## lavaan (0.5-20) converged normally after  51 iterations
## 
##   Number of observations                           431
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             4957.970
##   Degrees of freedom                               737
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic            22441.501
##   Degrees of freedom                               780
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.805
##   Tucker-Lewis Index (TLI)                       0.794
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -29599.404
##   Loglikelihood unrestricted model (H1)     -27120.419
## 
##   Number of free parameters                         83
##   Akaike (AIC)                               59364.807
##   Bayesian (BIC)                             59702.294
##   Sample-size adjusted Bayesian (BIC)        59438.900
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.115
##   90 Percent Confidence Interval          0.112  0.118
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.089
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 =~                                              
##     embarrassed       1.000                           
##     pride             1.189    0.057   20.758    0.000
##     guilt             1.040    0.054   19.288    0.000
##     love              1.330    0.062   21.566    0.000
##     disrespected      1.019    0.055   18.429    0.000
##     depressed         1.256    0.062   20.213    0.000
##     beliefs           0.889    0.053   16.837    0.000
##     emo_recog         1.029    0.053   19.242    0.000
##     joy               1.429    0.065   22.100    0.000
##     personality       1.369    0.062   21.913    0.000
##     happy             1.404    0.065   21.739    0.000
##     morality          0.938    0.054   17.312    0.000
##     angry             1.352    0.066   20.544    0.000
##     self_restraint    0.971    0.055   17.522    0.000
##     thoughts          1.242    0.063   19.817    0.000
##     self_aware        1.062    0.060   17.765    0.000
##   MR2 =~                                              
##     hungry            1.000                           
##     pain              1.022    0.034   29.734    0.000
##     tired             1.044    0.033   31.768    0.000
##     fear              1.031    0.033   30.949    0.000
##     pleasure          1.028    0.033   31.326    0.000
##     conscious         0.899    0.037   24.159    0.000
##     free_will         0.823    0.036   22.977    0.000
##     safe              0.939    0.034   27.758    0.000
##     desires           0.936    0.035   26.924    0.000
##     calm              0.942    0.033   28.435    0.000
##     nauseated         0.913    0.037   24.396    0.000
##     odors             0.849    0.038   22.644    0.000
##     intentions        0.786    0.038   20.761    0.000
##   MR3 =~                                              
##     remembering       1.000                           
##     temperature       0.836    0.043   19.455    0.000
##     recognizing       1.023    0.046   22.054    0.000
##     seeing            1.095    0.049   22.464    0.000
##     communicating     1.016    0.045   22.776    0.000
##     sounds            0.942    0.043   21.855    0.000
##     depth             0.954    0.048   19.873    0.000
##     goal              0.851    0.050   17.045    0.000
##     choices           1.029    0.046   22.200    0.000
##     reasoning         0.782    0.046   16.830    0.000
##     computations      0.358    0.055    6.535    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   MR1 ~~                                              
##     MR2               2.971    0.258   11.497    0.000
##     MR3               2.230    0.208   10.719    0.000
##   MR2 ~~                                              
##     MR3               3.397    0.293   11.579    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     embarrassed       1.478    0.105   14.113    0.000
##     pride             1.166    0.085   13.664    0.000
##     guilt             1.287    0.092   13.976    0.000
##     love              1.158    0.086   13.400    0.000
##     disrespected      1.500    0.106   14.101    0.000
##     depressed         1.500    0.109   13.799    0.000
##     beliefs           1.601    0.112   14.267    0.000
##     emo_recog         1.273    0.091   13.984    0.000
##     joy               1.128    0.086   13.162    0.000
##     personality       1.101    0.083   13.252    0.000
##     happy             1.224    0.092   13.329    0.000
##     morality          1.616    0.114   14.224    0.000
##     angry             1.597    0.116   13.720    0.000
##     self_restraint    1.655    0.117   14.203    0.000
##     thoughts          1.620    0.117   13.882    0.000
##     self_aware        1.881    0.133   14.178    0.000
##     hungry            1.336    0.098   13.618    0.000
##     pain              1.075    0.081   13.300    0.000
##     tired             0.800    0.063   12.744    0.000
##     fear              0.900    0.069   13.001    0.000
##     pleasure          0.839    0.065   12.889    0.000
##     conscious         1.818    0.129   14.051    0.000
##     free_will         1.783    0.126   14.142    0.000
##     safe              1.217    0.089   13.652    0.000
##     desires           1.360    0.099   13.766    0.000
##     calm              1.110    0.082   13.546    0.000
##     nauseated         1.818    0.130   14.031    0.000
##     odors             1.983    0.140   14.165    0.000
##     intentions        2.175    0.152   14.278    0.000
##     remembering       1.411    0.108   13.059    0.000
##     temperature       1.596    0.117   13.680    0.000
##     recognizing       1.524    0.116   13.108    0.000
##     seeing            1.618    0.125   12.985    0.000
##     communicating     1.314    0.102   12.883    0.000
##     sounds            1.338    0.102   13.164    0.000
##     depth             1.936    0.142   13.607    0.000
##     goal              2.472    0.176   14.012    0.000
##     choices           1.499    0.115   13.066    0.000
##     reasoning         2.165    0.154   14.036    0.000
##     computations      4.060    0.278   14.608    0.000
##     MR1               2.363    0.243    9.717    0.000
##     MR2               4.963    0.421   11.792    0.000
##     MR3               3.422    0.319   10.736    0.000
## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid
## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds
## Loading required package: proto

ModelWDM: Theoretical, three factors (AFFECT, AUTONOMY, PERCEPTION; see Weisman et al., 2015)

## lavaan (0.5-20) converged normally after  50 iterations
## 
##   Number of observations                           431
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic              699.397
##   Degrees of freedom                               101
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             7057.942
##   Degrees of freedom                               120
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.914
##   Tucker-Lewis Index (TLI)                       0.898
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -12281.509
##   Loglikelihood unrestricted model (H1)     -11931.810
## 
##   Number of free parameters                         35
##   Akaike (AIC)                               24633.017
##   Bayesian (BIC)                             24775.331
##   Sample-size adjusted Bayesian (BIC)        24664.261
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.117
##   90 Percent Confidence Interval          0.109  0.126
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.057
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect =~                                           
##     happy             1.000                           
##     depressed         0.808    0.034   23.676    0.000
##     fear              0.943    0.034   27.927    0.000
##     angry             0.946    0.032   29.776    0.000
##     calm              0.913    0.031   29.827    0.000
##     joy               1.008    0.028   35.957    0.000
##   perception =~                                       
##     sounds            1.000                           
##     seeing            1.177    0.045   26.103    0.000
##     temperature       0.905    0.041   22.316    0.000
##     odors             1.114    0.046   24.067    0.000
##     depth             0.939    0.048   19.465    0.000
##   autonomy =~                                         
##     free_will         1.000                           
##     choices           1.023    0.046   22.189    0.000
##     self_restraint    0.758    0.044   17.403    0.000
##     intentions        1.028    0.047   21.949    0.000
##     goal              0.856    0.049   17.385    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   affect ~~                                           
##     perception        3.186    0.277   11.511    0.000
##     autonomy          3.677    0.309   11.906    0.000
##   perception ~~                                       
##     autonomy          2.902    0.254   11.409    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     happy             0.802    0.072   11.064    0.000
##     depressed         1.909    0.139   13.704    0.000
##     fear              1.655    0.126   13.141    0.000
##     angry             1.372    0.107   12.808    0.000
##     calm              1.273    0.099   12.797    0.000
##     joy               0.788    0.072   10.942    0.000
##     sounds            1.061    0.091   11.677    0.000
##     seeing            1.128    0.105   10.761    0.000
##     temperature       1.275    0.101   12.648    0.000
##     odors             1.455    0.122   11.971    0.000
##     depth             2.126    0.159   13.375    0.000
##     free_will         1.541    0.127   12.135    0.000
##     choices           1.348    0.116   11.625    0.000
##     self_restraint    1.810    0.135   13.449    0.000
##     intentions        1.431    0.122   11.778    0.000
##     goal              2.311    0.172   13.453    0.000
##     affect            5.084    0.400   12.708    0.000
##     perception        3.313    0.294   11.259    0.000
##     autonomy          3.605    0.342   10.540    0.000
## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid
## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds

ModelGGW: Theoretical, two factors (AGENCY, EXPERIENCE; see Gray et al., 2007)

## lavaan (0.5-20) converged normally after  42 iterations
## 
##   Number of observations                           431
## 
##   Estimator                                         ML
##   Minimum Function Test Statistic             1653.966
##   Degrees of freedom                               134
##   P-value (Chi-square)                           0.000
## 
## Model test baseline model:
## 
##   Minimum Function Test Statistic             8749.306
##   Degrees of freedom                               153
##   P-value                                        0.000
## 
## User model versus baseline model:
## 
##   Comparative Fit Index (CFI)                    0.823
##   Tucker-Lewis Index (TLI)                       0.798
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -13782.271
##   Loglikelihood unrestricted model (H1)     -12955.288
## 
##   Number of free parameters                         37
##   Akaike (AIC)                               27638.543
##   Bayesian (BIC)                             27788.989
##   Sample-size adjusted Bayesian (BIC)        27671.572
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.162
##   90 Percent Confidence Interval          0.155  0.169
##   P-value RMSEA <= 0.05                          0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.083
## 
## Parameter Estimates:
## 
##   Information                                 Expected
##   Standard Errors                             Standard
## 
## Latent Variables:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience =~                                       
##     hungry            1.000                           
##     fear              1.047    0.044   23.972    0.000
##     pain              1.030    0.045   23.047    0.000
##     pleasure          1.098    0.041   26.543    0.000
##     angry             1.020    0.043   23.796    0.000
##     desires           1.013    0.042   24.228    0.000
##     personality       0.997    0.041   24.245    0.000
##     conscious         0.955    0.044   21.559    0.000
##     pride             0.771    0.041   18.909    0.000
##     embarrassed       0.595    0.040   14.786    0.000
##     joy               1.056    0.042   25.189    0.000
##   agency =~                                           
##     self_restraint    1.000                           
##     morality          0.913    0.055   16.657    0.000
##     remembering       1.099    0.062   17.798    0.000
##     emo_recog         0.996    0.054   18.371    0.000
##     goal              1.016    0.064   15.872    0.000
##     communicating     1.076    0.062   17.297    0.000
##     thoughts          1.227    0.063   19.419    0.000
## 
## Covariances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##   experience ~~                                       
##     agency            2.862    0.256   11.199    0.000
## 
## Variances:
##                    Estimate  Std.Err  Z-value  P(>|z|)
##     hungry            1.922    0.140   13.774    0.000
##     fear              1.381    0.104   13.296    0.000
##     pain              1.615    0.119   13.535    0.000
##     pleasure          0.807    0.067   12.065    0.000
##     angry             1.362    0.102   13.346    0.000
##     desires           1.223    0.093   13.217    0.000
##     personality       1.181    0.089   13.211    0.000
##     conscious         1.837    0.133   13.817    0.000
##     pride             1.904    0.135   14.137    0.000
##     embarrassed       2.291    0.159   14.411    0.000
##     joy               1.069    0.083   12.856    0.000
##     self_restraint    1.453    0.113   12.888    0.000
##     morality          1.672    0.125   13.387    0.000
##     remembering       1.896    0.146   13.022    0.000
##     emo_recog         1.366    0.107   12.790    0.000
##     goal              2.442    0.180   13.584    0.000
##     communicating     2.029    0.154   13.196    0.000
##     thoughts          1.612    0.132   12.242    0.000
##     experience        4.377    0.411   10.638    0.000
##     agency            2.430    0.251    9.675    0.000
## Warning in lav_data_full(data = data, group = group, group.label =
## group.label, : lavaan WARNING: unordered factor(s) with more than 2 levels
## detected in data: subid
## Warning in lav_partable_check(lavpartable, categorical = categorical, warn
## = TRUE): lavaan WARNING: parameter table does not contain thresholds

Compare models (if possible)

# compare models (iff continuous and ML)
customVuong(d4_all_fitDD, d4_all_fitWDM, d4_all_fitGGW)
## $mod1_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 82.669,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -91.746,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -91.746,   p = < 2.2e-16
## 
## $mod1_v_mod3
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 69.012,   p = 3.9e-09
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -91.712,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -91.712,   p = < 2.2e-16
## 
## $mod3_v_mod2
## 
## Model 1 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## Model 2 
##  Class: lavaan 
##  Call: lavaan::lavaan(model = model, data = d, model.type = "cfa", int.ov.free = TRUE,  
## 
## 
## Variance test 
##   H0: Model 1 and Model 2 are indistinguishable 
##   H1: Model 1 and Model 2 are distinguishable 
##   w2 = 16.197,   p = <2e-16
## 
## Non-nested likelihood ratio test 
##   H0: Model fits are equal for the focal population 
##   H1A: Model 1 fits better than Model 2 
##   z = -17.962,   p = 1
##   H1B: Model 2 fits better than Model 1 
##   z = -17.962,   p = < 2.2e-16
## 
## $winner
## [1] "WDM"

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